Van der Pol Oscillator Simulink Model

The Van der Pol Oscillator nonlinear model in Simulink.

This Simulink model represents the Van der Pol oscillator described by the following differential equation

x'' - m(1-x^2)x' + x = 0

where x=x(t) a function of time and m is a physical parameter.

One can easily observe that for m=0 the system becomes linear.

The user is advised to try different values for m and see the changes in the system behavior.

One can also change the initial values for x(0) and x'(0) and see if this changes the behavior of the system.

Notes: The refine factor has been changeg to 4 in order to produce a smoother simulation. Also do not forget to uncheck the "limit data points" option.

This is included in [1]. See also the video below about chaos

https://www.youtube.com/watch?v=OXTS-d9HdB4

References:

[1] An introduction to Control Theory Applications Using Matlab, https://www.researchgate.net/publication/281374146_An_Introduction_to_Control_Theory_Applications_with_Matlab

[2] DIFFERENTIAL EQUATIONS,DYNAMICAL SYSTEMS, AND AN INTRODUCTION TO CHAOS, Hirsch, Smale, Devaney. Elsevier Academic Press.

[3] https://www.researchgate.net/publication/281374146_An_Introduction_to_Control_Theory_Applications_with_Matlab