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In mathematics, a nonlinear system is one that does not satisfy the superposition principle, or one whose output is not directly proportional to its input; a linear system fulfills these conditions. In other words, a nonlinear system is any problem where the variable(s) to be solved for cannot be written as a linear combination of independent components. A nonhomogeneous system, which is linear apart from the presence of a function of the independent variables, is nonlinear according to a strict definition, but such systems are usually studied alongside linear systems, because they can be transformed to a linear system of multiple variables.
Nonlinear problems are of interest to engineers, physicists and mathematicians because most physical systems are inherently nonlinear in nature. Nonlinear equations are difficult to solve and give rise to interesting phenomena such as chaos. The weather is famously chaotic, where simple changes in one part of the system produce complex effects throughout.
This page contains text from Wikipedia, the Free Encyclopedia -
http://en.wikipedia.org/wiki/Nonlinear_system
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.
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Nonlinear Systems Theory: an introduction
A brief introduction to the area of Nonlinear systems: Many would say nonlinearity is the ...
published: 01 Jun 2014
author: Foton Labs
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published: 24 Jun 2010
author: Khan Academy
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In this video, we introduce the idea of solving non-linear systems of equations involving ...
published: 23 Sep 2011
author: MathemAddicts
Intermediate Algebra - Solving Non-Linear Systems of Equations (Part A)
Intermediate Algebra - Solving Non-Linear Systems of Equations (Part A)
In this video, we introduce the idea of solving non-linear systems of equations involving quadratic equations and linear equations. A future lecture will be ...- published: 23 Sep 2011
- views: 5431
- author: MathemAddicts
60:27
Module 1 lecture 4 Non linear system analysis Part 1
Lectures by Prof. Laxmidhar Behera, Department of Electrical Engineering, Indian Institute...
published: 23 Jan 2008
author: nptelhrd
Module 1 lecture 4 Non linear system analysis Part 1
Module 1 lecture 4 Non linear system analysis Part 1
Lectures by Prof. Laxmidhar Behera, Department of Electrical Engineering, Indian Institute of Technology, Kanpur. For more details on NPTEL visit http://npte...- published: 23 Jan 2008
- views: 23938
- author: nptelhrd
47:11
Lec 31 | MIT 18.03 Differential Equations, Spring 2006
Non-linear Autonomous Systems: Finding the Critical Points and Sketching Trajectories; the...
published: 17 Jan 2008
author: MIT OpenCourseWare
Lec 31 | MIT 18.03 Differential Equations, Spring 2006
Lec 31 | MIT 18.03 Differential Equations, Spring 2006
Non-linear Autonomous Systems: Finding the Critical Points and Sketching Trajectories; the Non-linear Pendulum. View the complete course: http://ocw.mit.edu/...- published: 17 Jan 2008
- views: 33293
- author: MIT OpenCourseWare
18:01
Fixed points and stability of a nonlinear system
Find the fixed points and determines the linear stability of a system of two first-order n...
published: 11 Nov 2013
author: Prof. Jeffrey Chasnov
Fixed points and stability of a nonlinear system
Fixed points and stability of a nonlinear system
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.u...- published: 11 Nov 2013
- views: 2789
- author: Prof. Jeffrey Chasnov
7:28
Solving Nonlinear System of Equations 070-33
How to solve nonlinear systems of equations algebraically and graphically. This video is p...
published: 09 Jan 2013
author: HCCMathHelp
Solving Nonlinear System of Equations 070-33
Solving Nonlinear System of Equations 070-33
How to solve nonlinear systems of equations algebraically and graphically. This video is provided by the Learning Assistance Center of Howard Community Colle...- published: 09 Jan 2013
- views: 1336
- author: HCCMathHelp
4:05
Algebra 2 - Solving a System of Nonlinear Equations by Elimination
Math Help at Brightstorm! http://www.brightstorm.com/math How to solve a system of nonline...
published: 17 May 2010
author: Brightstorm
Algebra 2 - Solving a System of Nonlinear Equations by Elimination
Algebra 2 - Solving a System of Nonlinear Equations by Elimination
Math Help at Brightstorm! http://www.brightstorm.com/math How to solve a system of nonlinear equations using elimination.- published: 17 May 2010
- views: 16083
- author: Brightstorm
4:10
Solving Nonlinear Systems Example 2 Elimination Method
example 1 using substitution http://youtu.be/-ilH5xBYqxs example 2 using elimination http:...
published: 26 May 2013
author: Mathbyfives
Solving Nonlinear Systems Example 2 Elimination Method
Solving Nonlinear Systems Example 2 Elimination Method
example 1 using substitution http://youtu.be/-ilH5xBYqxs example 2 using elimination http://youtu.be/oLKoBIy-6No Example 3 using substitution twice http://yo...- published: 26 May 2013
- views: 934
- author: Mathbyfives
10:56
2 Variable Non Linear Systems Substitution Method
I explain and work through 2 examples of solving 2 Variable Non Linear Systems with the Su...
published: 08 Mar 2012
author: ProfRobBob
2 Variable Non Linear Systems Substitution Method
2 Variable Non Linear Systems Substitution Method
I explain and work through 2 examples of solving 2 Variable Non Linear Systems with the Substitution Method.- published: 08 Mar 2012
- views: 1766
- author: ProfRobBob
16:06
College Algebra - Lecture 34 - System of Non-Linear Equations
College Algebra with Professor Richard Delaware - UMKC VSI - Lecture 34 - System of Non-Li...
published: 05 May 2009
author: UMKC
College Algebra - Lecture 34 - System of Non-Linear Equations
College Algebra - Lecture 34 - System of Non-Linear Equations
College Algebra with Professor Richard Delaware - UMKC VSI - Lecture 34 - System of Non-Linear Equations. In this lecture ,we learn solving a system of 2 non...- published: 05 May 2009
- views: 20974
- author: UMKC
Youtube results:
7:15
Using the Jacobean to Linearize at nonlinear system at an equilibrium point
Made with Explain Everything...
published: 11 Apr 2014
Using the Jacobean to Linearize at nonlinear system at an equilibrium point
Using the Jacobean to Linearize at nonlinear system at an equilibrium point
Made with Explain Everything- published: 11 Apr 2014
- views: 26
7:09
Solving Systems of Nonlinear Algebraic Equations in Matlab
This video demonstrates how to solve nonlinear systems of equations in matlab. It is simil...
published: 27 Apr 2010
author: Jake Blanchard
Solving Systems of Nonlinear Algebraic Equations in Matlab
Solving Systems of Nonlinear Algebraic Equations in Matlab
This video demonstrates how to solve nonlinear systems of equations in matlab. It is similar to root finding, but for multiple variables. The video can also ...- published: 27 Apr 2010
- views: 52114
- author: Jake Blanchard
10:25
Solving a non linear system by substitution
...
published: 02 Oct 2013
author: rbackfisch
Solving a non linear system by substitution
19:47
7.1 Linear and Nonlinear System of Equation Notes
Summit High School Pre-Cal notes for section 7.1. For more information about our class, yo...
published: 20 Mar 2013
author: Michael Fore
7.1 Linear and Nonlinear System of Equation Notes
7.1 Linear and Nonlinear System of Equation Notes
Summit High School Pre-Cal notes for section 7.1. For more information about our class, you can find us on iTunes U. Just search for Pre-Cal and you can enro...- published: 20 Mar 2013
- views: 27
- author: Michael Fore
