Exploring nonlinear dynamics

Animated Phase Plane Diagrams

2D Linear Systems
An interactive visualization showing how linear two-dimensional dynamic systems can behave. With this, one can get an understanding and a feeling for the meaning of eigenvectors real and complex eigenvalues and various kinds of fixed points.

2D Nonlinear System: Van der Pol Oscillator
An interactive visualization giving intuition for the effect of the parameter in the Van der Pol oscillator and the effect of the LiƩnard transformation.

3D Nonlinear System: Lorenz Attractor
An interactive visualization of the famous chaotic Lorenz system.


Interesting third-party content

Lecture recording: Nonlinear Dynamics and Chaos by Prof. Steven Strogatz, Cornell University
Note: You can change the playback speed!

Lorenz Attractor: Different interactive visualization by Malin Christersson



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GitHub repository of /nonlinear

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