Dynamical Systems and Differential Equations

Differential Equations - Solve Linear System using Laplace transforms

Order: Reorder
Duration: 14:48
Updated: 22 Jul 2013

Solve the system: dx/dt + 3x + dy/dt = 1, dx/dt - x + dy/dt - y = e^t, x(0)=0, y(0)=0

http://wn.com/Differential_Equations_Solve_Linear_System_using_Laplace_transforms

Multiagent Dynamical Systems

Order: Reorder
Duration: 56:46
Updated: 20 Jul 2013

I will show how to model multiagent systems using dynamical systems theory by deriving a class of macroscopic differential equations that describe mutual ada...

http://wn.com/Multiagent_Dynamical_Systems

Linearizing non-linear dynamic equations

Order: Reorder
Duration: 7:27
Updated: 17 Jul 2013

In this lecture, we go through the steps of linearizing non-linear differential equations about a given operating/equilibrium point. We will use the multi-va...

http://wn.com/Linearizing_non-linear_dynamic_equations

Lec 27 | MIT 18.03 Differential Equations, Spring 2006

Order: Reorder
Duration: 50:25
Updated: 08 Aug 2013

Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients View the complete course: http://ocw.mit.edu/18-03S06 License: Creative Commo...

http://wn.com/Lec_27_|_MIT_1803_Differential_Equations,_Spring_2006

State Space Representation ( Dynamic Systems ) | Mechanical Engineering

Order: Reorder
Duration: 9:01
Updated: 04 Aug 2013

State Space Representation Dynamic Systems.

http://wn.com/State_Space_Representation_Dynamic_Systems_|_Mechanical_Engineering

Solving Differential Equations by LT part 1

Order: Reorder
Duration: 10:01
Updated: 07 Oct 2013

http://wn.com/Solving_Differential_Equations_by_LT_part_1

Mythily Ramaswamy - Control of Differential Equations

Order: Reorder
Duration: 39:44
Updated: 08 Oct 2013

PROGRAM: RECENT TRENDS IN ERGODIC THEORY AND DYNAMICAL SYSTEMS DATES: Tuesday 18 Dec, 2012 - Saturday 29 Dec, 2012 VENUE: Department of Mathematics,Faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara PROGRAM LINK: http://www.icts.res.in/program/ETDS2012 DESCRIPTION: "Dynamical Systems" is an exciting and very active field in mathematics that involves tools and techniques from many areas. A dynamical system can be obtained by iterating a function or letting evolve in time the solution of an equation. Even if the rule of evolution is deterministic, the long term behavior of the system is often chaotic. Different branches of "Dynamical Systems", in particular "Ergodic Theory", provide tools to quantify this chaotic behavior of the system and to predict it in an average. This program has been planned in two parts: 7 day Workshop (Dec 18-24, 2012) followed by 4 day Discussion Meeting (Dec 26-29, 2012). The aim is to bring together on one platform experts from around the world who are actively working in various sub-disciplines of Dynamical Systems. An important aspect of the program will be an emphasis on making it accessible to younger participants. The workshop will begin with lectures on basic Ergodic Theory followed by lectures on Topological Dynamics, Differentiable Dynamics and Symbolic Dynamics, including Cellular Automata. It will have a `problem and discussion' session every day. Many researchers from across the globe will be discussing their celebrated works in Ergodic Theory, Dynamical Systems and related areas during the four days of the Discussion Meeting. We will encourage young participants to present a short communication on their work in the presence of the eminent experts during the program.

http://wn.com/Mythily_Ramaswamy_Control_of_Differential_Equations

Solving Differential Equations by LT part 2

Order: Reorder
Duration: 14:00
Updated: 07 Oct 2013

http://wn.com/Solving_Differential_Equations_by_LT_part_2

Lecture 3

Order: Reorder
Duration: 53:18
Updated: 21 Sep 2013

The third in a series of lectures which will examine differential equations from the perspective of the exponential map. The third lecture develops the complex logarithm. This will serve as a spring-board towards demonstrating the importance of the exponential function in mathematics, and the ideas will be used later on when we talk about the exponential of a matrix. Differential equations, matrix theory, dynamical systems, exponential map, exponents, complex numbers, Taylor series, taylor polynomials, sequences, series, vector field, equilibrium, linearization, stable manifold, unstable manifold. This lecture occurred on Sept. 19th, 2013.

http://wn.com/Lecture_3

Modeling and control of dynamic systems - From electric vehicles to systems biology : Adachi's Group

Order: Reorder
Duration: 3:55
Updated: 15 Apr 2013

At the Adachi Laboratory, the theme of research is modeling and control. Control means actively changing a systems dynamics in a desired way. Control is util...

http://wn.com/Modeling_and_control_of_dynamic_systems_From_electric_vehicles_to_systems_biology_Adachi's_Group

System Dynamics and Control: Module 3 - Mathematical Modeling Part I

Order: Reorder
Duration: 65:34
Updated: 18 Aug 2013

Discussion of differential equations as a representation of dynamic systems. Introduction to the Laplace Transform as a tool for solving differential equations.

http://wn.com/System_Dynamics_and_Control_Module_3_Mathematical_Modeling_Part_I

Solves System/Multiple of First 1st Order Differential Equations with MATLAB ODE45

Order: Reorder
Duration: 4:22
Updated: 04 Feb 2014

This tutorial is Solves System of First 1st Order Differential Equations with MATLAB ODE45. More engineering tutorial videos are available in https://www.youtube.com/user/eeprogrammer and http://eeprogrammer.com ************************************* We provide low cost and high quality engineering services to help you, your research team or your company increasing productivity and improving quality. If your company needs fast technical solutions, please contact us. No matter the scale of your project, we welcome your business. You can see different sizes and types of projects we did in our recent projects page. **Recent Projects http://eeprogrammer.com/pps/pps1.html

http://wn.com/Solves_System_Multiple_of_First_1st_Order_Differential_Equations_with_MATLAB_ODE45

Differential Equations, The Exponential Map Perspective - Lecture 10

Order: Reorder
Duration: 28:36
Updated: 22 Nov 2013

The tenth in a series of lectures which will examine differential equations from the perspective of the exponential map. The tenth lecture discusses coordinates, and change of basis. We introduce the basic features of the Jordan Normal Form. The Jordan Normal Form puts a matrix into a form which is extremely easy to exponentiate. Differential equations, matrix theory, dynamical systems, exponential map, exponents, complex numbers, Taylor series, taylor polynomials, sequences, series, vector field, equilibrium, linearization, stable manifold, unstable manifold. The tenth lecture was recorded on November 21st, 2013.

http://wn.com/Differential_Equations,_The_Exponential_Map_Perspective_Lecture_10

Differential Equations, The Exponential Map Perspective - Lecture 7

Order: Reorder
Duration: 40:08
Updated: 25 Oct 2013

The seventh in a series of lectures which will examine differential equations from the perspective of the exponential map. The seventh lecture continues with very basic concepts from linear algebra. We are moving towards the Jordan Normal Form. The Jordan Normal Form puts a matrix into a form which is extremely easy to exponentiate. Differential equations, matrix theory, dynamical systems, exponential map, exponents, complex numbers, Taylor series, taylor polynomials, sequences, series, vector field, equilibrium, linearization, stable manifold, unstable manifold.

http://wn.com/Differential_Equations,_The_Exponential_Map_Perspective_Lecture_7

DYNAMIC SYSTEMS Firmenjubiläum 2013

Order: Reorder
Duration: 5:07
Updated: 06 Aug 2013

20 Jahre Kompetenz in industrieller Kennzeichnung -- DYNAMIC Systems feiert Geburtstag DYNAMIC Systems ist auf individuelle Komplettlösungen für automatisierte Kennzeichnungsaufgaben insbesondere für die Branchen Automotive, Elektronik/Telekommunikation, Chemie, Pharma/Medizin und Logistik spezialisiert. Das Produktspektrum umfasst Etiketten, Drucker, Barcode-Scanner, RFID-Lösungen, Beschriftungssysteme und Software. Mit integrierten und systemübergreifenden Konzepten bietet DYNAMIC Systems industrielle Kennzeichnung „aus einer Hand" und ist einer der führenden Systemanbieter auf dem Gebiet der industriellen Kennzeichnungssysteme im deutschsprachigen Raum. Seit 2010 agiert DYNAMIC Systems gemeinsam mit der Schwarz Druck GmbH in der DYNAMIC Holding GmbH, Wörthsee, www.dynamic-systems.de

http://wn.com/DYNAMIC_SYSTEMS_Firmenjubiläum_2013

Fixed points and stability of a nonlinear system

Order: Reorder
Duration: 18:01
Updated: 11 Nov 2013

Find the fixed points and determines the linear stability of a system of two first-order nonlinear differential equations. Lecture notes at http://www.math.ust.hk/~machas/differential-equations.pdf

http://wn.com/Fixed_points_and_stability_of_a_nonlinear_system

Electrical System Differential Equations and Block Diagram 1792013 1228 0

Order: Reorder
Duration: 14:43
Updated: 08 Oct 2013

http://wn.com/Electrical_System_Differential_Equations_and_Block_Diagram_1792013_1228_0

Differential Equations: The Exponential Map Perspective - Lecture 1

Order: Reorder
Duration: 48:25
Updated: 06 Sep 2013

The first in a series of lectures which will examine differential equations from the perspective of the exponential map. The first lecture starts by considering real exponents, where several key exponent properties are assumed to be true for ALL REAL NUMBERS (this was not made clear in the lecture). From there, we derive several basic exponent properties that we know from basic algebra. We begin to study Taylor series, and will eventually define complex exponents using the exponential function. This will serve as a spring-board towards demonstrating the importance of the exponential function in mathematics, and the ideas will be used later on when we talk about the exponential of a matrix. Differential equations, matrix theory, dynamical systems, exponential map, exponents, complex numbers, Taylor series, taylor polynomials, sequences, series, vector field, equilibrium, linearization, stable manifold, unstable manifold. This lecture occurred on Sept. 5th, 2013.

http://wn.com/Differential_Equations_The_Exponential_Map_Perspective_Lecture_1

Rotational Dynamic System Modeling Example

Order: Reorder
Duration: 6:40
Updated: 10 Jan 2014

This is a quick review of how to generate differential equations for a system having rotating disks, torsional stiffness and torsional damping.

http://wn.com/Rotational_Dynamic_System_Modeling_Example

Differential Equations, the Exponential Map Perspective - Lecture 11

Order: Reorder
Duration: 41:31
Updated: 06 Dec 2013

The eleventh in a series of lectures which will examine differential equations from the perspective of the exponential map. In the eleventh lecture we compute the Jordan Normal Form for a 7x7 matrix, using the rank of powers of A-lambda I to determine the size of the Jordan blocks. The Jordan Normal Form puts a matrix into a form which is extremely easy to exponentiate. Differential equations, matrix theory, dynamical systems, exponential map, exponents, complex numbers, Taylor series, taylor polynomials, sequences, series, vector field, equilibrium, linearization, stable manifold, unstable manifold. The tenth lecture was recorded on November 21st, 2013.

http://wn.com/Differential_Equations,_the_Exponential_Map_Perspective_Lecture_11

Logical Analysis of Hybrid Systems

Order: Reorder
Duration: 53:31
Updated: 30 Jul 2013

RI Seminar, February 18, 2011 Andre Platzer Assistant Professor, Computer Science Department, Carnegie Mellon University Hybrid systems model cyber-physical ...

http://wn.com/Logical_Analysis_of_Hybrid_Systems

Lecture 8 | Introduction to Linear Dynamical Systems

Order: Reorder
Duration: 75:58
Updated: 27 Jun 2013

Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on the least norm solutions of undetermined equations for t...

http://wn.com/Lecture_8_|_Introduction_to_Linear_Dynamical_Systems

Dynamic Modeling in MATLAB / Simulink

Order: Reorder
Duration: 16:17
Updated: 26 Sep 2013

Developing a dynamic simulation model from first principles is accomplished by expressing the physical system by differential equations. This tutorial demonstrates how to derive and solve equations for solution by APMonitor for MATLAB / Simulink.

http://wn.com/Dynamic_Modeling_in_MATLAB_Simulink

Branches of Mathematics

Pure mathematics

Applied mathematics

Related Topics

Differential Equations - Solve Linear System using Laplace transforms

Multiagent Dynamical Systems

Linearizing non-linear dynamic equations

Lec 27 | MIT 18.03 Differential Equations, Spring 2006

State Space Representation ( Dynamic Systems ) | Mechanical Engineering

Solving Differential Equations by LT part 1

Mythily Ramaswamy - Control of Differential Equations

Solving Differential Equations by LT part 2

Lecture 3

Modeling and control of dynamic systems - From electric vehicles to systems biology : Adachi's Group

System Dynamics and Control: Module 3 - Mathematical Modeling Part I

Solves System/Multiple of First 1st Order Differential Equations with MATLAB ODE45

Differential Equations, The Exponential Map Perspective - Lecture 10

Differential Equations, The Exponential Map Perspective - Lecture 7

Make changes yourself !

Differential Equations - Solve Linear System using Laplace transforms

Multiagent Dynamical Systems

Linearizing non-linear dynamic equations

Lec 27 | MIT 18.03 Differential Equations, Spring 2006

State Space Representation ( Dynamic Systems ) | Mechanical Engineering

Solving Differential Equations by LT part 1

Mythily Ramaswamy - Control of Differential Equations

Solving Differential Equations by LT part 2

Lecture 3

Modeling and control of dynamic systems - From electric vehicles to systems biology : Adachi's Group

System Dynamics and Control: Module 3 - Mathematical Modeling Part I

Solves System/Multiple of First 1st Order Differential Equations with MATLAB ODE45

Differential Equations, The Exponential Map Perspective - Lecture 10

Differential Equations, The Exponential Map Perspective - Lecture 7

DYNAMIC SYSTEMS Firmenjubiläum 2013

Fixed points and stability of a nonlinear system

Electrical System Differential Equations and Block Diagram 1792013 1228 0

Differential Equations: The Exponential Map Perspective - Lecture 1