- published: 28 Jun 2016
- views: 8
Create your page here
-
remove the playlistQuasiperiodic Motion
-
remove the playlistLatest Videos
-
remove the playlistLongest Videos
- remove the playlistQuasiperiodic Motion
- remove the playlistLatest Videos
- remove the playlistLongest Videos
back to playlist
The video presents the motion of a triple pendulum with damping forces in the joints, and external excitation force with a frequency of 2.8 rad/s. After some time, the pendulum gets to equilibrium and its motion follows a quasi-periodic trajectory.
For more details see:
1) J. Awrejcewicz, Classical Mechanics - Dynamics. Chapter 2: Mathematical and Physical Pendulum. Springer, New York, (2012).
2) J. Awrejcewicz, G. Kudra, and C. H. Lamarque, Int. J. Bifurcat. Chaos. 14, 4191, (2004).
3) J. Awrejcewicz, B. Supel, C. H. Lamarque, G. Kudra, G. Wasilewski, and P. Olejnik, Int. J. Bifurcat. Chaos. 18, 2883,
(2008).
4) J. Awrejcewicz, G. Kudra, and G. Wasilewski, Nonlinear Dynamics 50, 755, (2007).
(Quasi)periodic motion of 3 electrons interecting with parabolic repulsion.
- published: 07 Jan 2009
- views: 487
pipe conveying fluid quasiperiodic motion mergen chaos chaotic motion dynamics dynamical behavior nonlinear vibration spring elastomer experiment vibration stability Houpf bifurcation divergence flutter
- published: 11 Aug 2010
- views: 251
The time evolution of three free quantum waves, described by Gaussian wave functions, which interact with an elliptical smooth potential is displayed. The quantum waves are trapped inside the potential, where they can move freely. The time evolution of the whole wave function is calculated by using the time dependent Schrödinger equation. This numerical simulation is carried out in a lattice with 600x600 netpoints. In the causal interpretation of quantum theory of David Bohm and Louis de Broglie, the wave function is a real wave in configuration space that imparts well-defined trajectories to quantum particles. In practice, it is impossible to predict or control the quantum trajectories with complete precision. The causal interpretation is mathematically identical to orthodox quantum mechanics and yields the same predictions. The advantage of the trajectory approach is that it permits the extraction of velocity fields and spatial trajectories in the configuration space without taking any classical limit.
It is seen that the dispersive wave packets, while moving with constant group velocity, have a time-dependent, but, within a certain time interval, stable width. The dynamics structure shows periodic behavior, which depends on the initial position of the wave. In the case of the elliptical potential the trajectories the dynamics structure is quite complex. Some of the curves are closed and periodic, while others are quasi-periodic. Due to the shape of the potential the quantum motion of the three waves with 150 possible paths for the quantum particles which are "within the wave", generates quasi-periodic orbits, which are Lissajous like. The orbits are dynamically unstable, meaning small departures from equilibrium grow exponentially over time. Further investigation is necessary to capture the fully dynamics, e.g. the relationship between the frequencies of the vertical and horizontal inputs, respectively.
The graphics show the squared wave function, the squared wave function PLUS the contour lines of the potential V(x,y) in two and three-dimensional form, the positions of the quantum particles (coloured points) and the trajectories in the configuration space.
Programmed by: Klaus von Bloh
- published: 13 Jul 2013
- views: 240
"Polar motion of the Earth" is the movement of the point where Earth's rotational axis intersects its surface. This is measured with respect to a reference frame in which the solid Earth is fixed . This variation is only a few meters.
It consists of two quasi-periodic components and a gradual drift, mostly in the direction of the 80th meridian west, of the Earth's instantaneous rotational axis or North pole, from a conventionally defined reference axis, the CIO , being the pole's average location over the year 1900.
The two periodic parts are a more or less circular motion called Chandler wobble with a period of about 435 days, and a yearly circular motion. There is also a longer term variation which is less well understood. These motions are illustrated on the Earth Orientation Center of the International Earth Rotation and Reference Systems Service :
The mean displacement far exceeds the magnitude of the wobbles. This can lead to errors in software for Earth observing spacecraft, since analysts may read off a 5-meter circular motion and ignore it, while a 20-meter offset exists, fouling the accuracy of the calculated latitude and longitude. The latter are determined based on the International Terrestrial Reference System, which follows the polar motion.
The slow drift, about 20 m since 1900, is partly due to motions in the Earth's core and mantle, and partly to the redistribution of water mass as the Greenland ice sheet melts, and to isostatic rebound, i.e. the slow rise of land that was formerly burdened with ice sheets or glaciers. The drift is roughly along the 80th meridian west.
Wiz Science™ is "the" learning channel for children and all ages.
SUBSCRIBE TODAY
Disclaimer: This video is for your information only. The author or publisher does not guarantee the accuracy of the content presented in this video. USE AT YOUR OWN RISK.
Background Music:
"The Place Inside" by Silent Partner (royalty-free) from YouTube Audio Library.
This video uses material/images from https://en.wikipedia.org/wiki/Polar+motion, which is released under Creative Commons Attribution-Share-Alike License 3.0 http://creativecommons.org/licenses/by-sa/3.0/ . This video is licensed under Creative Commons Attribution-Share-Alike License 3.0 http://creativecommons.org/licenses/by-sa/3.0/ . To reuse/adapt the content in your own work, you must comply with the license terms.
- published: 24 Sep 2015
- views: 108
Programmed by Klaus von Bloh
Exact solutions of the non-relativistic wave equations contain all the necessary information for the quantum system and have important applications in particle physics. A solution of the Schrödinger equation in three dimensional configuration space with the trigonometric Pöschl–Teller potential in the Bohm approach is shown
Quantum motion occurs in configuration-space particle trajectories associated with the de Broglie–Bohm causal interpretation of quantum mechanics. Previous videos showed that the motion of a quantum particle could be obtained when the corresponding particle density (given by the modulus of the Schrödinger wavefunction) is not time dependent.
This video shows a three-dimensional anharmonic oscillator described by a trigonometric Pöschl–Teller potential in a degenerate stationary state with a constant phase shift. Two particles are placed on the margin of the potential randomly and separated by an initial distance dx.
A system with three degrees of freedom assigned by a superposition of three coherent stationary eigenfunctions that has commensurate energy eigenvalues and with a relative constant phase shift can exhibit chaotic motion in the associated de Broglie–Bohm picture, provided that the constant phase alpha is not zero or an integer multiple of Pi. The origin of the motion lies in the relative phase of the total wavefunction, which has no analog in classical particle mechanics. The dynamic structure is quite complex. Some of the curves are closed and periodic, while others are quasi-periodic. In the region of nodal points of the wavefunction the trajectories apparently become accelerated and chaotic. The parameters have to be chosen carefully, because of the singularities of the velocities and the large oscillations that can lead to very unstable trajectories. Further investigation to capture the full dynamics of the system is necessary. The video shows two initially neighboring trajectories. Green points mark the starting positions of the two quantum particles and red points the actual positions. Blue points indicate the nodal point structure.
For more information, please see:
http://demonstrations.wolfram.com/QuantumMotionOfTwoParticlesInA3DTrigonometricPoeschlTellerPo/
- published: 19 Feb 2015
- views: 253
Mini Course - KAM for PDES - Prof. Yannick Sire (Aix-Marseille) - Class 1
Página:
http://www.impa.br/opencms/pt/eventos/store_old/evento_1505
Download dos vídeos:
http://video.impa.br/index.php?page=elliptic-kinetic
KAM for PDES - Abstract: The KAM theorem, after Kolmogorov, Arnold and Moser is fundamental in many areas of mathematics (dynamical systems, differential and complex geometry, for instance). The basic idea is to prove a persistence result for quasi-periodic motions for Hamiltonian systems. Originally, the theorem has been developed in a finite dimensional framework. In recent decades, major progresses have been done in the direction of infinite dimensional systems, such as lattices or PDEs. In this series of lectures, I will describe a new method, quite flexible and based on geometric cancelations, allowing to construct invariant tori for infinite dimensional systems with the final purpose to apply the strategy to strongly ill-posed PDEs coming from fluid dynamics. The outline of the course will be: first, I will state and prove the standard KAM theorem in finite dimensions (after recalling some basic facts of symplectic geometry and Hamiltonian systems). Second, I will go on the case of lattices, constructing finite and infinite dimensional invariant tori. Finally, I will describe the KAM iteration for PDEs, where several issues intrinsic to PDEs arise.
IMPA - Instituto Nacional de Matemática Pura e Aplicada ©
http://www.impa.br | http://video.impa.br
- published: 11 Aug 2015
- views: 357
Quasiperiodic motion
In mathematics and theoretical physics, quasiperiodic motion is in rough terms the type of motion executed by a dynamical system containing a finite number (two or more) of incommensurable frequencies.
That is, if we imagine that the phase space is modelled by a torus T, the trajectory of the system is modelled by a curve on T that wraps around the torus without ever exactly coming back on itself.
A quasiperiodic function on the real line is the type of function (continuous, say) obtained from a function on T, by means of a curve
which is linear (when lifted from T to its covering Euclidean space), by composition. It is therefore oscillating, with a finite number of underlying frequencies. (NB the sense in which theta functions and the Weierstrass zeta function in complex analysis are said to have quasi-periods with respect to a period lattice is something distinct from this.)
The theory of almost periodic functions is, roughly speaking, for the same situation but allowing T to be a torus with an infinite number of dimensions.
This page contains text from Wikipedia, the Free Encyclopedia -
https://wn.com/Quasiperiodic_motion
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
- Loading...
-
6:03Triple pendulum - II. Quasi-periodic motion
Triple pendulum - II. Quasi-periodic motionTriple pendulum - II. Quasi-periodic motion
The video presents the motion of a triple pendulum with damping forces in the joints, and external excitation force with a frequency of 2.8 rad/s. After some time, the pendulum gets to equilibrium and its motion follows a quasi-periodic trajectory. For more details see: 1) J. Awrejcewicz, Classical Mechanics - Dynamics. Chapter 2: Mathematical and Physical Pendulum. Springer, New York, (2012). 2) J. Awrejcewicz, G. Kudra, and C. H. Lamarque, Int. J. Bifurcat. Chaos. 14, 4191, (2004). 3) J. Awrejcewicz, B. Supel, C. H. Lamarque, G. Kudra, G. Wasilewski, and P. Olejnik, Int. J. Bifurcat. Chaos. 18, 2883, (2008). 4) J. Awrejcewicz, G. Kudra, and G. Wasilewski, Nonlinear Dynamics 50, 755, (2007). -
1:02Periodic, Quasiperiodic and Chaotic Motions
Periodic, Quasiperiodic and Chaotic Motions -
0:31Periodic motion
Periodic motionPeriodic motion
(Quasi)periodic motion of 3 electrons interecting with parabolic repulsion. -
1:11pipe.mpg
pipe.mpgpipe.mpg
pipe conveying fluid quasiperiodic motion mergen chaos chaotic motion dynamics dynamical behavior nonlinear vibration spring elastomer experiment vibration stability Houpf bifurcation divergence flutter -
0:39Time Dependent Quantum Motion in an Elliptical Smooth Potential: The Lissajous Case
Time Dependent Quantum Motion in an Elliptical Smooth Potential: The Lissajous CaseTime Dependent Quantum Motion in an Elliptical Smooth Potential: The Lissajous Case
The time evolution of three free quantum waves, described by Gaussian wave functions, which interact with an elliptical smooth potential is displayed. The quantum waves are trapped inside the potential, where they can move freely. The time evolution of the whole wave function is calculated by using the time dependent Schrödinger equation. This numerical simulation is carried out in a lattice with 600x600 netpoints. In the causal interpretation of quantum theory of David Bohm and Louis de Broglie, the wave function is a real wave in configuration space that imparts well-defined trajectories to quantum particles. In practice, it is impossible to predict or control the quantum trajectories with complete precision. The causal interpretation is mathematically identical to orthodox quantum mechanics and yields the same predictions. The advantage of the trajectory approach is that it permits the extraction of velocity fields and spatial trajectories in the configuration space without taking any classical limit. It is seen that the dispersive wave packets, while moving with constant group velocity, have a time-dependent, but, within a certain time interval, stable width. The dynamics structure shows periodic behavior, which depends on the initial position of the wave. In the case of the elliptical potential the trajectories the dynamics structure is quite complex. Some of the curves are closed and periodic, while others are quasi-periodic. Due to the shape of the potential the quantum motion of the three waves with 150 possible paths for the quantum particles which are "within the wave", generates quasi-periodic orbits, which are Lissajous like. The orbits are dynamically unstable, meaning small departures from equilibrium grow exponentially over time. Further investigation is necessary to capture the fully dynamics, e.g. the relationship between the frequencies of the vertical and horizontal inputs, respectively. The graphics show the squared wave function, the squared wave function PLUS the contour lines of the potential V(x,y) in two and three-dimensional form, the positions of the quantum particles (coloured points) and the trajectories in the configuration space. Programmed by: Klaus von Bloh -
0:43Chaotic Motions
Chaotic Motions -
2:04Polar motion - Video Learning - WizScience.com
Polar motion - Video Learning - WizScience.comPolar motion - Video Learning - WizScience.com
"Polar motion of the Earth" is the movement of the point where Earth's rotational axis intersects its surface. This is measured with respect to a reference frame in which the solid Earth is fixed . This variation is only a few meters. It consists of two quasi-periodic components and a gradual drift, mostly in the direction of the 80th meridian west, of the Earth's instantaneous rotational axis or North pole, from a conventionally defined reference axis, the CIO , being the pole's average location over the year 1900. The two periodic parts are a more or less circular motion called Chandler wobble with a period of about 435 days, and a yearly circular motion. There is also a longer term variation which is less well understood. These motions are illustrated on the Earth Orientation Center of the International Earth Rotation and Reference Systems Service : The mean displacement far exceeds the magnitude of the wobbles. This can lead to errors in software for Earth observing spacecraft, since analysts may read off a 5-meter circular motion and ignore it, while a 20-meter offset exists, fouling the accuracy of the calculated latitude and longitude. The latter are determined based on the International Terrestrial Reference System, which follows the polar motion. The slow drift, about 20 m since 1900, is partly due to motions in the Earth's core and mantle, and partly to the redistribution of water mass as the Greenland ice sheet melts, and to isostatic rebound, i.e. the slow rise of land that was formerly burdened with ice sheets or glaciers. The drift is roughly along the 80th meridian west. Wiz Science™ is "the" learning channel for children and all ages. SUBSCRIBE TODAY Disclaimer: This video is for your information only. The author or publisher does not guarantee the accuracy of the content presented in this video. USE AT YOUR OWN RISK. Background Music: "The Place Inside" by Silent Partner (royalty-free) from YouTube Audio Library. This video uses material/images from https://en.wikipedia.org/wiki/Polar+motion, which is released under Creative Commons Attribution-Share-Alike License 3.0 http://creativecommons.org/licenses/by-sa/3.0/ . This video is licensed under Creative Commons Attribution-Share-Alike License 3.0 http://creativecommons.org/licenses/by-sa/3.0/ . To reuse/adapt the content in your own work, you must comply with the license terms. -
0:10Duffing_quasi1
Duffing_quasi1Duffing_quasi1
Quasi-periodic forcing. Motion contained within a well. -
0:37The Quantum Motion of Two Particles in a 3D Trigonometric Pöschl–Teller Potential
The Quantum Motion of Two Particles in a 3D Trigonometric Pöschl–Teller PotentialThe Quantum Motion of Two Particles in a 3D Trigonometric Pöschl–Teller Potential
Programmed by Klaus von Bloh Exact solutions of the non-relativistic wave equations contain all the necessary information for the quantum system and have important applications in particle physics. A solution of the Schrödinger equation in three dimensional configuration space with the trigonometric Pöschl–Teller potential in the Bohm approach is shown Quantum motion occurs in configuration-space particle trajectories associated with the de Broglie–Bohm causal interpretation of quantum mechanics. Previous videos showed that the motion of a quantum particle could be obtained when the corresponding particle density (given by the modulus of the Schrödinger wavefunction) is not time dependent. This video shows a three-dimensional anharmonic oscillator described by a trigonometric Pöschl–Teller potential in a degenerate stationary state with a constant phase shift. Two particles are placed on the margin of the potential randomly and separated by an initial distance dx. A system with three degrees of freedom assigned by a superposition of three coherent stationary eigenfunctions that has commensurate energy eigenvalues and with a relative constant phase shift can exhibit chaotic motion in the associated de Broglie–Bohm picture, provided that the constant phase alpha is not zero or an integer multiple of Pi. The origin of the motion lies in the relative phase of the total wavefunction, which has no analog in classical particle mechanics. The dynamic structure is quite complex. Some of the curves are closed and periodic, while others are quasi-periodic. In the region of nodal points of the wavefunction the trajectories apparently become accelerated and chaotic. The parameters have to be chosen carefully, because of the singularities of the velocities and the large oscillations that can lead to very unstable trajectories. Further investigation to capture the full dynamics of the system is necessary. The video shows two initially neighboring trajectories. Green points mark the starting positions of the two quantum particles and red points the actual positions. Blue points indicate the nodal point structure. For more information, please see: http://demonstrations.wolfram.com/QuantumMotionOfTwoParticlesInA3DTrigonometricPoeschlTellerPo/ -
75:20Mini Course - KAM for PDES - Prof. Yannick Sire - Class 1
Mini Course - KAM for PDES - Prof. Yannick Sire - Class 1Mini Course - KAM for PDES - Prof. Yannick Sire - Class 1
Mini Course - KAM for PDES - Prof. Yannick Sire (Aix-Marseille) - Class 1 Página: http://www.impa.br/opencms/pt/eventos/store_old/evento_1505 Download dos vídeos: http://video.impa.br/index.php?page=elliptic-kinetic KAM for PDES - Abstract: The KAM theorem, after Kolmogorov, Arnold and Moser is fundamental in many areas of mathematics (dynamical systems, differential and complex geometry, for instance). The basic idea is to prove a persistence result for quasi-periodic motions for Hamiltonian systems. Originally, the theorem has been developed in a finite dimensional framework. In recent decades, major progresses have been done in the direction of infinite dimensional systems, such as lattices or PDEs. In this series of lectures, I will describe a new method, quite flexible and based on geometric cancelations, allowing to construct invariant tori for infinite dimensional systems with the final purpose to apply the strategy to strongly ill-posed PDEs coming from fluid dynamics. The outline of the course will be: first, I will state and prove the standard KAM theorem in finite dimensions (after recalling some basic facts of symplectic geometry and Hamiltonian systems). Second, I will go on the case of lattices, constructing finite and infinite dimensional invariant tori. Finally, I will describe the KAM iteration for PDEs, where several issues intrinsic to PDEs arise. IMPA - Instituto Nacional de Matemática Pura e Aplicada © http://www.impa.br | http://video.impa.br
-
Triple pendulum - II. Quasi-periodic motion
The video presents the motion of a triple pendulum with damping forces in the joints, and external excitation force with a frequency of 2.8 rad/s. After some time, the pendulum gets to equilibrium and its motion follows a quasi-periodic trajectory. For more details see: 1) J. Awrejcewicz, Classical Mechanics - Dynamics. Chapter 2: Mathematical and Physical Pendulum. Springer, New York, (2012). 2) J. Awrejcewicz, G. Kudra, and C. H. Lamarque, Int. J. Bifurcat. Chaos. 14, 4191, (2004). 3) J. Awrejcewicz, B. Supel, C. H. Lamarque, G. Kudra, G. Wasilewski, and P. Olejnik, Int. J. Bifurcat. Chaos. 18, 2883, (2008). 4) J. Awrejcewicz, G. Kudra, and G. Wasilewski, Nonlinear Dynamics 50, 755, (2007). -
-
Periodic motion
(Quasi)periodic motion of 3 electrons interecting with parabolic repulsion. -
pipe.mpg
pipe conveying fluid quasiperiodic motion mergen chaos chaotic motion dynamics dynamical behavior nonlinear vibration spring elastomer experiment vibration stability Houpf bifurcation divergence flutter -
Time Dependent Quantum Motion in an Elliptical Smooth Potential: The Lissajous Case
The time evolution of three free quantum waves, described by Gaussian wave functions, which interact with an elliptical smooth potential is displayed. The quantum waves are trapped inside the potential, where they can move freely. The time evolution of the whole wave function is calculated by using the time dependent Schrödinger equation. This numerical simulation is carried out in a lattice with 600x600 netpoints. In the causal interpretation of quantum theory of David Bohm and Louis de Broglie, the wave function is a real wave in configuration space that imparts well-defined trajectories to quantum particles. In practice, it is impossible to predict or control the quantum trajectories with complete precision. The causal interpretation is mathematically identical to orthodox quantum mecha... -
-
Polar motion - Video Learning - WizScience.com
"Polar motion of the Earth" is the movement of the point where Earth's rotational axis intersects its surface. This is measured with respect to a reference frame in which the solid Earth is fixed . This variation is only a few meters. It consists of two quasi-periodic components and a gradual drift, mostly in the direction of the 80th meridian west, of the Earth's instantaneous rotational axis or North pole, from a conventionally defined reference axis, the CIO , being the pole's average location over the year 1900. The two periodic parts are a more or less circular motion called Chandler wobble with a period of about 435 days, and a yearly circular motion. There is also a longer term variation which is less well understood. These motions are illustrated on the Earth Orientation Ce... -
Duffing_quasi1
Quasi-periodic forcing. Motion contained within a well. -
The Quantum Motion of Two Particles in a 3D Trigonometric Pöschl–Teller Potential
Programmed by Klaus von Bloh Exact solutions of the non-relativistic wave equations contain all the necessary information for the quantum system and have important applications in particle physics. A solution of the Schrödinger equation in three dimensional configuration space with the trigonometric Pöschl–Teller potential in the Bohm approach is shown Quantum motion occurs in configuration-space particle trajectories associated with the de Broglie–Bohm causal interpretation of quantum mechanics. Previous videos showed that the motion of a quantum particle could be obtained when the corresponding particle density (given by the modulus of the Schrödinger wavefunction) is not time dependent. This video shows a three-dimensional anharmonic oscillator described by a trigonometric Pöschl–Teller... -
Mini Course - KAM for PDES - Prof. Yannick Sire - Class 1
Mini Course - KAM for PDES - Prof. Yannick Sire (Aix-Marseille) - Class 1 Página: http://www.impa.br/opencms/pt/eventos/store_old/evento_1505 Download dos vídeos: http://video.impa.br/index.php?page=elliptic-kinetic KAM for PDES - Abstract: The KAM theorem, after Kolmogorov, Arnold and Moser is fundamental in many areas of mathematics (dynamical systems, differential and complex geometry, for instance). The basic idea is to prove a persistence result for quasi-periodic motions for Hamiltonian systems. Originally, the theorem has been developed in a finite dimensional framework. In recent decades, major progresses have been done in the direction of infinite dimensional systems, such as lattices or PDEs. In this series of lectures, I will describe a new method, quite flexible and based o...
Triple pendulum - II. Quasi-periodic motion
- Order: Reorder
- Duration: 6:03
- Updated: 28 Jun 2016
- views: 8
The video presents the motion of a triple pendulum with damping forces in the joints, and external excitation force with a frequency of 2.8 rad/s. After some ti...
The video presents the motion of a triple pendulum with damping forces in the joints, and external excitation force with a frequency of 2.8 rad/s. After some time, the pendulum gets to equilibrium and its motion follows a quasi-periodic trajectory.
For more details see:
1) J. Awrejcewicz, Classical Mechanics - Dynamics. Chapter 2: Mathematical and Physical Pendulum. Springer, New York, (2012).
2) J. Awrejcewicz, G. Kudra, and C. H. Lamarque, Int. J. Bifurcat. Chaos. 14, 4191, (2004).
3) J. Awrejcewicz, B. Supel, C. H. Lamarque, G. Kudra, G. Wasilewski, and P. Olejnik, Int. J. Bifurcat. Chaos. 18, 2883,
(2008).
4) J. Awrejcewicz, G. Kudra, and G. Wasilewski, Nonlinear Dynamics 50, 755, (2007).
wn.com/Triple Pendulum Ii. Quasi Periodic Motion
The video presents the motion of a triple pendulum with damping forces in the joints, and external excitation force with a frequency of 2.8 rad/s. After some time, the pendulum gets to equilibrium and its motion follows a quasi-periodic trajectory.
For more details see:
1) J. Awrejcewicz, Classical Mechanics - Dynamics. Chapter 2: Mathematical and Physical Pendulum. Springer, New York, (2012).
2) J. Awrejcewicz, G. Kudra, and C. H. Lamarque, Int. J. Bifurcat. Chaos. 14, 4191, (2004).
3) J. Awrejcewicz, B. Supel, C. H. Lamarque, G. Kudra, G. Wasilewski, and P. Olejnik, Int. J. Bifurcat. Chaos. 18, 2883,
(2008).
4) J. Awrejcewicz, G. Kudra, and G. Wasilewski, Nonlinear Dynamics 50, 755, (2007).
- published: 28 Jun 2016
- views: 8
Periodic, Quasiperiodic and Chaotic Motions
- Order: Reorder
- Duration: 1:02
- Updated: 15 Aug 2013
- views: 150
Periodic, Quasiperiodic and Chaotic Motions of a Cantilevered Shell Conveying Fluid.
Length-to-radius ratio: L/R=3,
Thickness-to-radius ratio: h/R=0.02
...
Periodic, Quasiperiodic and Chaotic Motions of a Cantilevered Shell Conveying Fluid.
Length-to-radius ratio: L/R=3,
Thickness-to-radius ratio: h/R=0.02
Fully incompressible material: nu=0.5
By: Mehdi Paak
wn.com/Periodic, Quasiperiodic And Chaotic Motions
Periodic motion
- Order: Reorder
- Duration: 0:31
- Updated: 07 Jan 2009
- views: 487
(Quasi)periodic motion of 3 electrons interecting with parabolic repulsion.
(Quasi)periodic motion of 3 electrons interecting with parabolic repulsion.
wn.com/Periodic Motion
(Quasi)periodic motion of 3 electrons interecting with parabolic repulsion.
- published: 07 Jan 2009
- views: 487
pipe.mpg
- Order: Reorder
- Duration: 1:11
- Updated: 11 Aug 2010
- views: 251
pipe conveying fluid quasiperiodic motion mergen chaos chaotic motion dynamics dynamical behavior nonlinear vibration spring elastomer experiment vibration stab...
pipe conveying fluid quasiperiodic motion mergen chaos chaotic motion dynamics dynamical behavior nonlinear vibration spring elastomer experiment vibration stability Houpf bifurcation divergence flutter
wn.com/Pipe.Mpg
pipe conveying fluid quasiperiodic motion mergen chaos chaotic motion dynamics dynamical behavior nonlinear vibration spring elastomer experiment vibration stability Houpf bifurcation divergence flutter
- published: 11 Aug 2010
- views: 251
Time Dependent Quantum Motion in an Elliptical Smooth Potential: The Lissajous Case
- Order: Reorder
- Duration: 0:39
- Updated: 13 Jul 2013
- views: 240
The time evolution of three free quantum waves, described by Gaussian wave functions, which interact with an elliptical smooth potential is displayed. The quant...
The time evolution of three free quantum waves, described by Gaussian wave functions, which interact with an elliptical smooth potential is displayed. The quantum waves are trapped inside the potential, where they can move freely. The time evolution of the whole wave function is calculated by using the time dependent Schrödinger equation. This numerical simulation is carried out in a lattice with 600x600 netpoints. In the causal interpretation of quantum theory of David Bohm and Louis de Broglie, the wave function is a real wave in configuration space that imparts well-defined trajectories to quantum particles. In practice, it is impossible to predict or control the quantum trajectories with complete precision. The causal interpretation is mathematically identical to orthodox quantum mechanics and yields the same predictions. The advantage of the trajectory approach is that it permits the extraction of velocity fields and spatial trajectories in the configuration space without taking any classical limit.
It is seen that the dispersive wave packets, while moving with constant group velocity, have a time-dependent, but, within a certain time interval, stable width. The dynamics structure shows periodic behavior, which depends on the initial position of the wave. In the case of the elliptical potential the trajectories the dynamics structure is quite complex. Some of the curves are closed and periodic, while others are quasi-periodic. Due to the shape of the potential the quantum motion of the three waves with 150 possible paths for the quantum particles which are "within the wave", generates quasi-periodic orbits, which are Lissajous like. The orbits are dynamically unstable, meaning small departures from equilibrium grow exponentially over time. Further investigation is necessary to capture the fully dynamics, e.g. the relationship between the frequencies of the vertical and horizontal inputs, respectively.
The graphics show the squared wave function, the squared wave function PLUS the contour lines of the potential V(x,y) in two and three-dimensional form, the positions of the quantum particles (coloured points) and the trajectories in the configuration space.
Programmed by: Klaus von Bloh
wn.com/Time Dependent Quantum Motion In An Elliptical Smooth Potential The Lissajous Case
The time evolution of three free quantum waves, described by Gaussian wave functions, which interact with an elliptical smooth potential is displayed. The quantum waves are trapped inside the potential, where they can move freely. The time evolution of the whole wave function is calculated by using the time dependent Schrödinger equation. This numerical simulation is carried out in a lattice with 600x600 netpoints. In the causal interpretation of quantum theory of David Bohm and Louis de Broglie, the wave function is a real wave in configuration space that imparts well-defined trajectories to quantum particles. In practice, it is impossible to predict or control the quantum trajectories with complete precision. The causal interpretation is mathematically identical to orthodox quantum mechanics and yields the same predictions. The advantage of the trajectory approach is that it permits the extraction of velocity fields and spatial trajectories in the configuration space without taking any classical limit.
It is seen that the dispersive wave packets, while moving with constant group velocity, have a time-dependent, but, within a certain time interval, stable width. The dynamics structure shows periodic behavior, which depends on the initial position of the wave. In the case of the elliptical potential the trajectories the dynamics structure is quite complex. Some of the curves are closed and periodic, while others are quasi-periodic. Due to the shape of the potential the quantum motion of the three waves with 150 possible paths for the quantum particles which are "within the wave", generates quasi-periodic orbits, which are Lissajous like. The orbits are dynamically unstable, meaning small departures from equilibrium grow exponentially over time. Further investigation is necessary to capture the fully dynamics, e.g. the relationship between the frequencies of the vertical and horizontal inputs, respectively.
The graphics show the squared wave function, the squared wave function PLUS the contour lines of the potential V(x,y) in two and three-dimensional form, the positions of the quantum particles (coloured points) and the trajectories in the configuration space.
Programmed by: Klaus von Bloh
- published: 13 Jul 2013
- views: 240
Chaotic Motions
- Order: Reorder
- Duration: 0:43
- Updated: 15 Aug 2013
- views: 22
Periodic, Quasiperiodic and Chaotic Motions of a Cantilevered Shell Conveying Fluid.
Length-to-radius ratio: L/R=7,
Thickness-to-radius ratio: h/R=0.02
...
Periodic, Quasiperiodic and Chaotic Motions of a Cantilevered Shell Conveying Fluid.
Length-to-radius ratio: L/R=7,
Thickness-to-radius ratio: h/R=0.02
Fully incompressible material: nu=0.5
By: Mehdi Paak
wn.com/Chaotic Motions
Polar motion - Video Learning - WizScience.com
- Order: Reorder
- Duration: 2:04
- Updated: 24 Sep 2015
- views: 108
"Polar motion of the Earth" is the movement of the point where Earth's rotational axis intersects its surface. This is measured with respect to a reference fram...
"Polar motion of the Earth" is the movement of the point where Earth's rotational axis intersects its surface. This is measured with respect to a reference frame in which the solid Earth is fixed . This variation is only a few meters.
It consists of two quasi-periodic components and a gradual drift, mostly in the direction of the 80th meridian west, of the Earth's instantaneous rotational axis or North pole, from a conventionally defined reference axis, the CIO , being the pole's average location over the year 1900.
The two periodic parts are a more or less circular motion called Chandler wobble with a period of about 435 days, and a yearly circular motion. There is also a longer term variation which is less well understood. These motions are illustrated on the Earth Orientation Center of the International Earth Rotation and Reference Systems Service :
The mean displacement far exceeds the magnitude of the wobbles. This can lead to errors in software for Earth observing spacecraft, since analysts may read off a 5-meter circular motion and ignore it, while a 20-meter offset exists, fouling the accuracy of the calculated latitude and longitude. The latter are determined based on the International Terrestrial Reference System, which follows the polar motion.
The slow drift, about 20 m since 1900, is partly due to motions in the Earth's core and mantle, and partly to the redistribution of water mass as the Greenland ice sheet melts, and to isostatic rebound, i.e. the slow rise of land that was formerly burdened with ice sheets or glaciers. The drift is roughly along the 80th meridian west.
Wiz Science™ is "the" learning channel for children and all ages.
SUBSCRIBE TODAY
Disclaimer: This video is for your information only. The author or publisher does not guarantee the accuracy of the content presented in this video. USE AT YOUR OWN RISK.
Background Music:
"The Place Inside" by Silent Partner (royalty-free) from YouTube Audio Library.
This video uses material/images from https://en.wikipedia.org/wiki/Polar+motion, which is released under Creative Commons Attribution-Share-Alike License 3.0 http://creativecommons.org/licenses/by-sa/3.0/ . This video is licensed under Creative Commons Attribution-Share-Alike License 3.0 http://creativecommons.org/licenses/by-sa/3.0/ . To reuse/adapt the content in your own work, you must comply with the license terms.
wn.com/Polar Motion Video Learning Wizscience.Com
"Polar motion of the Earth" is the movement of the point where Earth's rotational axis intersects its surface. This is measured with respect to a reference frame in which the solid Earth is fixed . This variation is only a few meters.
It consists of two quasi-periodic components and a gradual drift, mostly in the direction of the 80th meridian west, of the Earth's instantaneous rotational axis or North pole, from a conventionally defined reference axis, the CIO , being the pole's average location over the year 1900.
The two periodic parts are a more or less circular motion called Chandler wobble with a period of about 435 days, and a yearly circular motion. There is also a longer term variation which is less well understood. These motions are illustrated on the Earth Orientation Center of the International Earth Rotation and Reference Systems Service :
The mean displacement far exceeds the magnitude of the wobbles. This can lead to errors in software for Earth observing spacecraft, since analysts may read off a 5-meter circular motion and ignore it, while a 20-meter offset exists, fouling the accuracy of the calculated latitude and longitude. The latter are determined based on the International Terrestrial Reference System, which follows the polar motion.
The slow drift, about 20 m since 1900, is partly due to motions in the Earth's core and mantle, and partly to the redistribution of water mass as the Greenland ice sheet melts, and to isostatic rebound, i.e. the slow rise of land that was formerly burdened with ice sheets or glaciers. The drift is roughly along the 80th meridian west.
Wiz Science™ is "the" learning channel for children and all ages.
SUBSCRIBE TODAY
Disclaimer: This video is for your information only. The author or publisher does not guarantee the accuracy of the content presented in this video. USE AT YOUR OWN RISK.
Background Music:
"The Place Inside" by Silent Partner (royalty-free) from YouTube Audio Library.
This video uses material/images from https://en.wikipedia.org/wiki/Polar+motion, which is released under Creative Commons Attribution-Share-Alike License 3.0 http://creativecommons.org/licenses/by-sa/3.0/ . This video is licensed under Creative Commons Attribution-Share-Alike License 3.0 http://creativecommons.org/licenses/by-sa/3.0/ . To reuse/adapt the content in your own work, you must comply with the license terms.
- published: 24 Sep 2015
- views: 108
Duffing_quasi1
- Order: Reorder
- Duration: 0:10
- Updated: 04 Nov 2015
- views: 11
Quasi-periodic forcing. Motion contained within a well.
Quasi-periodic forcing. Motion contained within a well.
wn.com/Duffing Quasi1
The Quantum Motion of Two Particles in a 3D Trigonometric Pöschl–Teller Potential
- Order: Reorder
- Duration: 0:37
- Updated: 19 Feb 2015
- views: 253
Programmed by Klaus von Bloh
Exact solutions of the non-relativistic wave equations contain all the necessary information for the quantum system and have import...
Programmed by Klaus von Bloh
Exact solutions of the non-relativistic wave equations contain all the necessary information for the quantum system and have important applications in particle physics. A solution of the Schrödinger equation in three dimensional configuration space with the trigonometric Pöschl–Teller potential in the Bohm approach is shown
Quantum motion occurs in configuration-space particle trajectories associated with the de Broglie–Bohm causal interpretation of quantum mechanics. Previous videos showed that the motion of a quantum particle could be obtained when the corresponding particle density (given by the modulus of the Schrödinger wavefunction) is not time dependent.
This video shows a three-dimensional anharmonic oscillator described by a trigonometric Pöschl–Teller potential in a degenerate stationary state with a constant phase shift. Two particles are placed on the margin of the potential randomly and separated by an initial distance dx.
A system with three degrees of freedom assigned by a superposition of three coherent stationary eigenfunctions that has commensurate energy eigenvalues and with a relative constant phase shift can exhibit chaotic motion in the associated de Broglie–Bohm picture, provided that the constant phase alpha is not zero or an integer multiple of Pi. The origin of the motion lies in the relative phase of the total wavefunction, which has no analog in classical particle mechanics. The dynamic structure is quite complex. Some of the curves are closed and periodic, while others are quasi-periodic. In the region of nodal points of the wavefunction the trajectories apparently become accelerated and chaotic. The parameters have to be chosen carefully, because of the singularities of the velocities and the large oscillations that can lead to very unstable trajectories. Further investigation to capture the full dynamics of the system is necessary. The video shows two initially neighboring trajectories. Green points mark the starting positions of the two quantum particles and red points the actual positions. Blue points indicate the nodal point structure.
For more information, please see:
http://demonstrations.wolfram.com/QuantumMotionOfTwoParticlesInA3DTrigonometricPoeschlTellerPo/
wn.com/The Quantum Motion Of Two Particles In A 3D Trigonometric Pöschl–Teller Potential
Programmed by Klaus von Bloh
Exact solutions of the non-relativistic wave equations contain all the necessary information for the quantum system and have important applications in particle physics. A solution of the Schrödinger equation in three dimensional configuration space with the trigonometric Pöschl–Teller potential in the Bohm approach is shown
Quantum motion occurs in configuration-space particle trajectories associated with the de Broglie–Bohm causal interpretation of quantum mechanics. Previous videos showed that the motion of a quantum particle could be obtained when the corresponding particle density (given by the modulus of the Schrödinger wavefunction) is not time dependent.
This video shows a three-dimensional anharmonic oscillator described by a trigonometric Pöschl–Teller potential in a degenerate stationary state with a constant phase shift. Two particles are placed on the margin of the potential randomly and separated by an initial distance dx.
A system with three degrees of freedom assigned by a superposition of three coherent stationary eigenfunctions that has commensurate energy eigenvalues and with a relative constant phase shift can exhibit chaotic motion in the associated de Broglie–Bohm picture, provided that the constant phase alpha is not zero or an integer multiple of Pi. The origin of the motion lies in the relative phase of the total wavefunction, which has no analog in classical particle mechanics. The dynamic structure is quite complex. Some of the curves are closed and periodic, while others are quasi-periodic. In the region of nodal points of the wavefunction the trajectories apparently become accelerated and chaotic. The parameters have to be chosen carefully, because of the singularities of the velocities and the large oscillations that can lead to very unstable trajectories. Further investigation to capture the full dynamics of the system is necessary. The video shows two initially neighboring trajectories. Green points mark the starting positions of the two quantum particles and red points the actual positions. Blue points indicate the nodal point structure.
For more information, please see:
http://demonstrations.wolfram.com/QuantumMotionOfTwoParticlesInA3DTrigonometricPoeschlTellerPo/
- published: 19 Feb 2015
- views: 253
Mini Course - KAM for PDES - Prof. Yannick Sire - Class 1
- Order: Reorder
- Duration: 75:20
- Updated: 11 Aug 2015
- views: 357
Mini Course - KAM for PDES - Prof. Yannick Sire (Aix-Marseille) - Class 1
Página:
http://www.impa.br/opencms/pt/eventos/store_old/evento_1505
Download dos ví...
Mini Course - KAM for PDES - Prof. Yannick Sire (Aix-Marseille) - Class 1
Página:
http://www.impa.br/opencms/pt/eventos/store_old/evento_1505
Download dos vídeos:
http://video.impa.br/index.php?page=elliptic-kinetic
KAM for PDES - Abstract: The KAM theorem, after Kolmogorov, Arnold and Moser is fundamental in many areas of mathematics (dynamical systems, differential and complex geometry, for instance). The basic idea is to prove a persistence result for quasi-periodic motions for Hamiltonian systems. Originally, the theorem has been developed in a finite dimensional framework. In recent decades, major progresses have been done in the direction of infinite dimensional systems, such as lattices or PDEs. In this series of lectures, I will describe a new method, quite flexible and based on geometric cancelations, allowing to construct invariant tori for infinite dimensional systems with the final purpose to apply the strategy to strongly ill-posed PDEs coming from fluid dynamics. The outline of the course will be: first, I will state and prove the standard KAM theorem in finite dimensions (after recalling some basic facts of symplectic geometry and Hamiltonian systems). Second, I will go on the case of lattices, constructing finite and infinite dimensional invariant tori. Finally, I will describe the KAM iteration for PDEs, where several issues intrinsic to PDEs arise.
IMPA - Instituto Nacional de Matemática Pura e Aplicada ©
http://www.impa.br | http://video.impa.br
wn.com/Mini Course Kam For Pdes Prof. Yannick Sire Class 1
Mini Course - KAM for PDES - Prof. Yannick Sire (Aix-Marseille) - Class 1
Página:
http://www.impa.br/opencms/pt/eventos/store_old/evento_1505
Download dos vídeos:
http://video.impa.br/index.php?page=elliptic-kinetic
KAM for PDES - Abstract: The KAM theorem, after Kolmogorov, Arnold and Moser is fundamental in many areas of mathematics (dynamical systems, differential and complex geometry, for instance). The basic idea is to prove a persistence result for quasi-periodic motions for Hamiltonian systems. Originally, the theorem has been developed in a finite dimensional framework. In recent decades, major progresses have been done in the direction of infinite dimensional systems, such as lattices or PDEs. In this series of lectures, I will describe a new method, quite flexible and based on geometric cancelations, allowing to construct invariant tori for infinite dimensional systems with the final purpose to apply the strategy to strongly ill-posed PDEs coming from fluid dynamics. The outline of the course will be: first, I will state and prove the standard KAM theorem in finite dimensions (after recalling some basic facts of symplectic geometry and Hamiltonian systems). Second, I will go on the case of lattices, constructing finite and infinite dimensional invariant tori. Finally, I will describe the KAM iteration for PDEs, where several issues intrinsic to PDEs arise.
IMPA - Instituto Nacional de Matemática Pura e Aplicada ©
http://www.impa.br | http://video.impa.br
- published: 11 Aug 2015
- views: 357
Periodic, Quasiperiodic and Chaotic Motions
- Order: Reorder
- Duration: 1:04
- Updated: 15 Aug 2013
- views: 68
Periodic, Quasiperiodic and Chaotic Motions of a Cantilevered Shell Conveying Fluid.
Length-to-radius ratio: L/R=7,
Thickness-to-radius ratio: h/R=0.02
...
Periodic, Quasiperiodic and Chaotic Motions of a Cantilevered Shell Conveying Fluid.
Length-to-radius ratio: L/R=7,
Thickness-to-radius ratio: h/R=0.02
Fully incompressible material: nu=0.5
By: Mehdi Paak
wn.com/Periodic, Quasiperiodic And Chaotic Motions
-
Mod-04 Lec-06 Bifurcation of Periodic response And Introduction to quasi-periodic
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in -
Mod-04 Lec-07 Quasi-Periodic and Chaotic response
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in -
Mod-02 Lec-03 Derivation of Equation of motion of nonlinear discrete system (More examples)
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in -
Mod-02 Lec-06 Ordering of nonlinear Equation of motion
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in -
Mod-02 Lec-04 Derivation of Equation of motion of nonlinear continuous system 1
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in -
Mod-02 Lec-05 Derivation of Equation of motion of nonlinear continuous system 2
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in -
Black Holes New Discoveries , full documentary science
Supermassive black holes are the most extreme objects in the known universe, with masses millions or even billions of times the mass of our sun. Now astronomers have been able to study one of these behemoths inside a strange, distant quasar and they’ve made an astonishing discovery — it’s spinning one-third the speed of light. Studying a supermassive black hole some 3.5 billion light-years away is no easy feat, but this isn’t a regular object: it’s a quasar that shows quasi-periodic brightening events every 12 years or so — a fact that has helped astronomers reveal its extreme nature. PHOTOS: When the World Went Gravitational Wave Crazy Quasars are extremely bright accretion disks in galactic cores driven by copious quantities of matter falling into the central supermassive black hole. ... -
Mod-06 Lec-03 Free Vibration of multi- degree of freedom Nonlinear systems with Cubic
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in -
Mod-01 Lec-04 Commonly observed Phenomena in Nonlinear systems
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
Mod-04 Lec-06 Bifurcation of Periodic response And Introduction to quasi-periodic
- Order: Reorder
- Duration: 53:31
- Updated: 13 Mar 2014
- views: 171
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
wn.com/Mod 04 Lec 06 Bifurcation Of Periodic Response And Introduction To Quasi Periodic
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
- published: 13 Mar 2014
- views: 171
Mod-04 Lec-07 Quasi-Periodic and Chaotic response
- Order: Reorder
- Duration: 59:53
- Updated: 13 Mar 2014
- views: 188
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
wn.com/Mod 04 Lec 07 Quasi Periodic And Chaotic Response
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
- published: 13 Mar 2014
- views: 188
Mod-02 Lec-03 Derivation of Equation of motion of nonlinear discrete system (More examples)
- Order: Reorder
- Duration: 53:55
- Updated: 13 Mar 2014
- views: 1348
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
wn.com/Mod 02 Lec 03 Derivation Of Equation Of Motion Of Nonlinear Discrete System (More Examples)
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
- published: 13 Mar 2014
- views: 1348
Mod-02 Lec-06 Ordering of nonlinear Equation of motion
- Order: Reorder
- Duration: 54:57
- Updated: 13 Mar 2014
- views: 1427
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
wn.com/Mod 02 Lec 06 Ordering Of Nonlinear Equation Of Motion
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
- published: 13 Mar 2014
- views: 1427
Mod-02 Lec-04 Derivation of Equation of motion of nonlinear continuous system 1
- Order: Reorder
- Duration: 52:43
- Updated: 13 Mar 2014
- views: 427
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
wn.com/Mod 02 Lec 04 Derivation Of Equation Of Motion Of Nonlinear Continuous System 1
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
- published: 13 Mar 2014
- views: 427
Mod-02 Lec-05 Derivation of Equation of motion of nonlinear continuous system 2
- Order: Reorder
- Duration: 54:01
- Updated: 13 Mar 2014
- views: 260
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
wn.com/Mod 02 Lec 05 Derivation Of Equation Of Motion Of Nonlinear Continuous System 2
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
- published: 13 Mar 2014
- views: 260
Black Holes New Discoveries , full documentary science
- Order: Reorder
- Duration: 67:12
- Updated: 20 Mar 2016
- views: 509
Supermassive black holes are the most extreme objects in the known universe, with masses millions or even billions of times the mass of our sun. Now astronomers...
Supermassive black holes are the most extreme objects in the known universe, with masses millions or even billions of times the mass of our sun. Now astronomers have been able to study one of these behemoths inside a strange, distant quasar and they’ve made an astonishing discovery — it’s spinning one-third the speed of light.
Studying a supermassive black hole some 3.5 billion light-years away is no easy feat, but this isn’t a regular object: it’s a quasar that shows quasi-periodic brightening events every 12 years or so — a fact that has helped astronomers reveal its extreme nature.
PHOTOS: When the World Went Gravitational Wave Crazy
Quasars are extremely bright accretion disks in galactic cores driven by copious quantities of matter falling into the central supermassive black hole. The vast majority of galaxies are thought to contain supermassive black holes, though modern galaxies have calmed down and quasars no longer shine. But it’s a different story for galaxies that are billions of light-years away.
The object at the center of the strange quasar called OJ287 “weighs in” at 18 billion solar masses and is one of the biggest supermassive (or ultramassive?) black holes in the known universe. Interestingly, it is also one of the most well-studied quasars as it is located very close to the apparent path of the sun’s motion across the sky as seen from Earth — a region where historic searches for asteroids and comets are regularly carried out. Therefore, astronomers have over 100 years of serendipitous brightness data for OJ287, allowing them to predict when the next flaring event would be.
On closer inspection of the flaring events that occurred in recent decades, astronomers realized that rather than a single brightening event occurring every 12 years, the brightening is actually a double peak, providing a clue as to what might be causing it.
ANALYSIS: Black Holes Slug it Out in Quasar Deathmatch
Mauri Valtonen of University of Turku, Finland, and his international team used several optical telescopes around the world in conjunction with NASA’s SWIFT X-ray space telescope to realize that these 12-year double-brightening events are triggered by a smaller black hole in orbit around OJ287. Valtonen is the lead author of the study published in the Astrophysical Journal.
The massive black hole possesses a very hot accretion disk, a key component of a quasar. The material accumulates in the disk and gets pulled into the black hole, feeding it. Along the way, the disk material is heated and emits powerful electromagnetic radiation. OJ287′s smaller black hole partner, which itself is still 100 million solar masses (still a huge black hole!) has a highly elongated orbit, swinging close to the more massive black hole every 12 years. During closest approach, the smaller black hole “splashes” into OJ287′s accretion disk once during the incoming swing and once more as it swings around the black hole’s far side, creating 2 distinct flaring events, as this diagram demonstrates:
wn.com/Black Holes New Discoveries , Full Documentary Science
Supermassive black holes are the most extreme objects in the known universe, with masses millions or even billions of times the mass of our sun. Now astronomers have been able to study one of these behemoths inside a strange, distant quasar and they’ve made an astonishing discovery — it’s spinning one-third the speed of light.
Studying a supermassive black hole some 3.5 billion light-years away is no easy feat, but this isn’t a regular object: it’s a quasar that shows quasi-periodic brightening events every 12 years or so — a fact that has helped astronomers reveal its extreme nature.
PHOTOS: When the World Went Gravitational Wave Crazy
Quasars are extremely bright accretion disks in galactic cores driven by copious quantities of matter falling into the central supermassive black hole. The vast majority of galaxies are thought to contain supermassive black holes, though modern galaxies have calmed down and quasars no longer shine. But it’s a different story for galaxies that are billions of light-years away.
The object at the center of the strange quasar called OJ287 “weighs in” at 18 billion solar masses and is one of the biggest supermassive (or ultramassive?) black holes in the known universe. Interestingly, it is also one of the most well-studied quasars as it is located very close to the apparent path of the sun’s motion across the sky as seen from Earth — a region where historic searches for asteroids and comets are regularly carried out. Therefore, astronomers have over 100 years of serendipitous brightness data for OJ287, allowing them to predict when the next flaring event would be.
On closer inspection of the flaring events that occurred in recent decades, astronomers realized that rather than a single brightening event occurring every 12 years, the brightening is actually a double peak, providing a clue as to what might be causing it.
ANALYSIS: Black Holes Slug it Out in Quasar Deathmatch
Mauri Valtonen of University of Turku, Finland, and his international team used several optical telescopes around the world in conjunction with NASA’s SWIFT X-ray space telescope to realize that these 12-year double-brightening events are triggered by a smaller black hole in orbit around OJ287. Valtonen is the lead author of the study published in the Astrophysical Journal.
The massive black hole possesses a very hot accretion disk, a key component of a quasar. The material accumulates in the disk and gets pulled into the black hole, feeding it. Along the way, the disk material is heated and emits powerful electromagnetic radiation. OJ287′s smaller black hole partner, which itself is still 100 million solar masses (still a huge black hole!) has a highly elongated orbit, swinging close to the more massive black hole every 12 years. During closest approach, the smaller black hole “splashes” into OJ287′s accretion disk once during the incoming swing and once more as it swings around the black hole’s far side, creating 2 distinct flaring events, as this diagram demonstrates:
- published: 20 Mar 2016
- views: 509
Mod-06 Lec-03 Free Vibration of multi- degree of freedom Nonlinear systems with Cubic
- Order: Reorder
- Duration: 55:34
- Updated: 13 Mar 2014
- views: 1935
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
wn.com/Mod 06 Lec 03 Free Vibration Of Multi Degree Of Freedom Nonlinear Systems With Cubic
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
- published: 13 Mar 2014
- views: 1935
Mod-01 Lec-04 Commonly observed Phenomena in Nonlinear systems
- Order: Reorder
- Duration: 58:07
- Updated: 13 Mar 2014
- views: 416
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
wn.com/Mod 01 Lec 04 Commonly Observed Phenomena In Nonlinear Systems
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.ac.in
- published: 13 Mar 2014
- views: 416
close fullscreen
- Playlist
- Chat
close fullscreen
- Playlist
- Chat
6:03
Triple pendulum - II. Quasi-periodic motion
The video presents the motion of a triple pendulum with damping forces in the joints, and ...
published: 28 Jun 2016
Triple pendulum - II. Quasi-periodic motion
Triple pendulum - II. Quasi-periodic motion
- Report rights infringement
- published: 28 Jun 2016
- views: 8
1:02
Periodic, Quasiperiodic and Chaotic Motions
Periodic, Quasiperiodic and Chaotic Motions of a Cantilevered Shell Conveying Fluid.
Leng...
published: 15 Aug 2013
Periodic, Quasiperiodic and Chaotic Motions
Periodic, Quasiperiodic and Chaotic Motions
- Report rights infringement
- published: 15 Aug 2013
- views: 150
0:31
Periodic motion
(Quasi)periodic motion of 3 electrons interecting with parabolic repulsion.
published: 07 Jan 2009
Periodic motion
Periodic motion
- Report rights infringement
- published: 07 Jan 2009
- views: 487
1:11
pipe.mpg
pipe conveying fluid quasiperiodic motion mergen chaos chaotic motion dynamics dynamical b...
published: 11 Aug 2010
pipe.mpg
pipe.mpg
- Report rights infringement
- published: 11 Aug 2010
- views: 251
0:39
Time Dependent Quantum Motion in an Elliptical Smooth Potential: The Lissajous Case
The time evolution of three free quantum waves, described by Gaussian wave functions, whic...
published: 13 Jul 2013
Time Dependent Quantum Motion in an Elliptical Smooth Potential: The Lissajous Case
Time Dependent Quantum Motion in an Elliptical Smooth Potential: The Lissajous Case
- Report rights infringement
- published: 13 Jul 2013
- views: 240
0:43
Chaotic Motions
Periodic, Quasiperiodic and Chaotic Motions of a Cantilevered Shell Conveying Fluid.
Leng...
published: 15 Aug 2013
Chaotic Motions
2:04
Polar motion - Video Learning - WizScience.com
"Polar motion of the Earth" is the movement of the point where Earth's rotational axis int...
published: 24 Sep 2015
Polar motion - Video Learning - WizScience.com
Polar motion - Video Learning - WizScience.com
- Report rights infringement
- published: 24 Sep 2015
- views: 108
0:10
Duffing_quasi1
Quasi-periodic forcing. Motion contained within a well.
published: 04 Nov 2015
Duffing_quasi1
Duffing_quasi1
- Report rights infringement
- published: 04 Nov 2015
- views: 11
0:37
The Quantum Motion of Two Particles in a 3D Trigonometric Pöschl–Teller Potential
Programmed by Klaus von Bloh
Exact solutions of the non-relativistic wave equations contai...
published: 19 Feb 2015
The Quantum Motion of Two Particles in a 3D Trigonometric Pöschl–Teller Potential
The Quantum Motion of Two Particles in a 3D Trigonometric Pöschl–Teller Potential
- Report rights infringement
- published: 19 Feb 2015
- views: 253
75:20
Mini Course - KAM for PDES - Prof. Yannick Sire - Class 1
Mini Course - KAM for PDES - Prof. Yannick Sire (Aix-Marseille) - Class 1
Página:
http:/...
published: 11 Aug 2015
Mini Course - KAM for PDES - Prof. Yannick Sire - Class 1
Mini Course - KAM for PDES - Prof. Yannick Sire - Class 1
- Report rights infringement
- published: 11 Aug 2015
- views: 357
close fullscreen
- Playlist
- Chat
1:04
Periodic, Quasiperiodic and Chaotic Motions
Periodic, Quasiperiodic and Chaotic Motions of a Cantilevered Shell Conveying Fluid.
Leng...
published: 15 Aug 2013
Periodic, Quasiperiodic and Chaotic Motions
Periodic, Quasiperiodic and Chaotic Motions
- Report rights infringement
- published: 15 Aug 2013
- views: 68
close fullscreen
- Playlist
- Chat
53:31
Mod-04 Lec-06 Bifurcation of Periodic response And Introduction to quasi-periodic
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahat...
published: 13 Mar 2014
Mod-04 Lec-06 Bifurcation of Periodic response And Introduction to quasi-periodic
Mod-04 Lec-06 Bifurcation of Periodic response And Introduction to quasi-periodic
- Report rights infringement
- published: 13 Mar 2014
- views: 171
59:53
Mod-04 Lec-07 Quasi-Periodic and Chaotic response
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahat...
published: 13 Mar 2014
Mod-04 Lec-07 Quasi-Periodic and Chaotic response
Mod-04 Lec-07 Quasi-Periodic and Chaotic response
- Report rights infringement
- published: 13 Mar 2014
- views: 188
53:55
Mod-02 Lec-03 Derivation of Equation of motion of nonlinear discrete system (More examples)
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahat...
published: 13 Mar 2014
Mod-02 Lec-03 Derivation of Equation of motion of nonlinear discrete system (More examples)
Mod-02 Lec-03 Derivation of Equation of motion of nonlinear discrete system (More examples)
- Report rights infringement
- published: 13 Mar 2014
- views: 1348
54:57
Mod-02 Lec-06 Ordering of nonlinear Equation of motion
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahat...
published: 13 Mar 2014
Mod-02 Lec-06 Ordering of nonlinear Equation of motion
Mod-02 Lec-06 Ordering of nonlinear Equation of motion
- Report rights infringement
- published: 13 Mar 2014
- views: 1427
52:43
Mod-02 Lec-04 Derivation of Equation of motion of nonlinear continuous system 1
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahat...
published: 13 Mar 2014
Mod-02 Lec-04 Derivation of Equation of motion of nonlinear continuous system 1
Mod-02 Lec-04 Derivation of Equation of motion of nonlinear continuous system 1
- Report rights infringement
- published: 13 Mar 2014
- views: 427
54:01
Mod-02 Lec-05 Derivation of Equation of motion of nonlinear continuous system 2
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahat...
published: 13 Mar 2014
Mod-02 Lec-05 Derivation of Equation of motion of nonlinear continuous system 2
Mod-02 Lec-05 Derivation of Equation of motion of nonlinear continuous system 2
- Report rights infringement
- published: 13 Mar 2014
- views: 260
67:12
Black Holes New Discoveries , full documentary science
Supermassive black holes are the most extreme objects in the known universe, with masses m...
published: 20 Mar 2016
Black Holes New Discoveries , full documentary science
Black Holes New Discoveries , full documentary science
- Report rights infringement
- published: 20 Mar 2016
- views: 509
55:34
Mod-06 Lec-03 Free Vibration of multi- degree of freedom Nonlinear systems with Cubic
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahat...
published: 13 Mar 2014
Mod-06 Lec-03 Free Vibration of multi- degree of freedom Nonlinear systems with Cubic
Mod-06 Lec-03 Free Vibration of multi- degree of freedom Nonlinear systems with Cubic
- Report rights infringement
- published: 13 Mar 2014
- views: 1935
58:07
Mod-01 Lec-04 Commonly observed Phenomena in Nonlinear systems
Nonlinear Vibration by Prof. S.K. Dwivedy,Department of Mechanical Engineering,IIT Guwahat...
published: 13 Mar 2014
Mod-01 Lec-04 Commonly observed Phenomena in Nonlinear systems
Mod-01 Lec-04 Commonly observed Phenomena in Nonlinear systems
- Report rights infringement
- published: 13 Mar 2014
- views: 416
Mod-04 Lec-06 Bifurcation of Periodic response And...
Mod-04 Lec-07 Quasi-Periodic and Chaotic response...
Mod-02 Lec-03 Derivation of Equation of motion of ...
Mod-02 Lec-06 Ordering of nonlinear Equation of mo...
Mod-02 Lec-04 Derivation of Equation of motion of ...
Mod-02 Lec-05 Derivation of Equation of motion of ...
Black Holes New Discoveries , full documentary sci...
Mod-06 Lec-03 Free Vibration of multi- degree of f...
Mod-01 Lec-04 Commonly observed Phenomena in Nonli...
photo: Public Domain
Father arrested in deaths of twin girls found in hot car in Georgia
Edit Toledo Blade 05 Aug 2016photo: AP
Egypt airstrikes kill IS group head
Edit One India 05 Aug 2016
Cairo, Aug 5. The Egyptian army killed the head of a Sinai-based militant group affiliated with the Islamic State and dozens of other militants in a massive airstrikes in North Sinai, an Egyptian military spokesman said on Thursday.The security campaign accurately ... ....
photo: AP / Tony Dejak
Black – And Police – Lives Matter Points To Irrational And Chaotic Society
Edit WorldNews.com 05 Aug 2016
Article by WNews.com Correspondent Dallas DarlingTo have to even suggest black or police lives matter points to an irrational and chaotic society. To be sure, the sovereignty of reason tempered with empathy towards citizens living in the same nation was supposed to replace the tyranny of kings and queens ... The number of U.S ... Unarmed blacks, meanwhile, are five times more likely to be killed by police than whites....
photo: Creative Commons / David Gerard
Melania Trump denies breaking US immigration laws after nude photos row
Edit Belfast Telegraph 05 Aug 2016
Melania Trump denied she broke any immigration laws when she first modelled professionally in the US, in the latest controversy to hit her husband Donald's presidential campaign. The Republican nominee has made illegal immigration a key part of his campaign platform, and his wife often cites her path to US citizenship in defence of his hard line. Share Go To ... Mrs Trump used Twitter to dispute that she violated immigration laws ... Period ... ....
« back to news headlines
AGM Results (AusNet Services Ltd)
Edit Public Technologies 05 Aug 2016
I,the Returning Officer appointed byyou inconnection with the votingbypoll on the motions set out below at the Annual General Meeting of the Members of AusNet Services Limited held at Meeting Room 219, Melbourne ... Votes cast 'FOR'the motion Votes cast 'AGAINST' the motion ... Votes cast 'FOR'the motion Votes cast 'AGAINST'the motion TOTAL VOTES CAST ... Votes cast 'FOR'the motion Votes cast 'AGAINST'the motion TOTAL VOTES CAST....
Pine Forest judge could be removed
Edit Austin American Statesman 05 Aug 2016
District Court Judge Carson Campbell could be removed from the controversial Pine Forest real estate case and replaced with another judge after a motion to recuse him was filed last week ... According to the motion filed by the investment group, Campbell met privately with attorneys on May 6 — before the case concluded — and told them he would be ruling in favor of the government entities....
Check out the latest poster of Ajay Devgn's 'Shivaay'
Edit DNA India 05 Aug 2016
--> dna Web Team . Fri, 5 Aug 2016-06.35pm , dna webdesk. Ajay Devgn released another poster of 'Shivaay' after its motion poster ... The official trailer is all set to be released on August 7 ... Recently, he had shared the motion poster of the film which gave us the chills and thrills ... Check out the posters here. ... Setting in motion @ShivaayTheFilm poster ... dna Web Team. ....
Animated film to represent Switzerland at Oscars
Edit Swissinfo 05 Aug 2016
It took ten months to complete, as it uses stop-motion, which consists of moving each figure millimetre by millimetre for each frame....
Basil Borutski will go to trial for murder in fall of 2017
Edit Toronto Sun 05 Aug 2016
Crown attorney Jeff Richardson also filed a motion under Section 486 of the Criminal Code to appoint Ottawa-based lawyer Patrick McCann as counsel to conduct the cross-examination of some witnesses during the trial, powers that an amicus curiae wouldn’t have ... Pre-trial motions in the case will be heard from April 10 to May 19, 2017....
District Court Denies Motion to Stay Preliminary Injunction of Mississippi Anti-Gay Law HB 1523 (Paul, Weiss, Rifkind, Wharton & Garrison LLP)
Edit Public Technologies 05 Aug 2016
Reeves of the United States District Court for the Southern District of Mississippi denied Mississippi Governor Phil Bryant's motion to stay the court's preliminary injunction, which prevented Mississippi's HB 1523 from going into effect on July 1 ... In denying the motion to stay, Judge Reeves forcefully rejected the governor's comparisons of HB 1523 to laws that permit individuals to opt out of going to war or perform abortions....
Council condemns racism, xenophobia & hate (Epping Forest District Council)
Edit Public Technologies 05 Aug 2016
(Source ... In the wake of the EU referendum leave verdict, a motion condemning racism, xenophobia and hate crime received unanimous backing by Epping Forest District councillors at a meeting of Councilon 26 July 2016 ... Councillor Steven Nevilleput forward the motion that stated ... The adoption of the motion coincided with the discovery of an inappropriate poster, crudely fixed to a road sign on Willingale Roadin Loughton ... Come forward ... (noodl....
Devendra Fadnavis threatens Congress leader with breach of privilege motion for 'defaming' minister
Edit DNA India 05 Aug 2016Data presentations at AAPM 2016 highlight potential of Elekta's high-field MR-linac to enable real-time treatment adaptation (Elekta AB)
Edit Public Technologies 05 Aug 2016
'The effects of inter-cycle respiratory motion variation on dose accumulation in single fraction MR-guided SBRT treatment of renal cell carcinoma'; Bjorn Stemkens, doctoral candidate in the Department of Radiotherapy at the University of Utrecht Medical Center ... This presentation evaluated three models used to characterize and adapt to the impact of respiratory motion on radiation dosing to the kidney during linac-based RT....
Scott County’s Crestlawn Cemetery must install monuments or issue refunds, judge orders
Edit Lexington Herald-Leader 05 Aug 2016
Shackelford failed to respond to the suit prompting the attorney general’s office to take further action by filing a motion for default judgment in July. Shackelford also did not reply to the motion for default judgment or appear in court Thursday when the judge ruled in the attorney general’s favor ... Greg Kocher....
AHCA/NCAL Agreement with Motion Picture Licensing Corporation (GHCA - The Georgia Health Care Association)
Edit Public Technologies 05 Aug 2016
(Source. GHCA - The Georgia Health Care Association). The Motion Picture Licensing Corporation (MPLC) has updated its agreement with AHCA/NCAL and LeadingAge for showing movies in common areas of nursing centers and assisted living communities ... The discounted rate is $2.00 per sleeping unit/sleeping room ... Original documenthttp.//ghca.info/2016/08/ahcancal-agreement-with-motion-picture-licensing-corporation/ ... (noodl....
- 1
- 2
- 3
- 4
- 5
- Next page »
