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Van der Pol Oscillator Simulink Model

version 1.0.0.0 (14.1 KB) by Lazaros Moysis
The Van der Pol Oscillator nonlinear model in Simulink.

34 Downloads

Updated 05 Jul 2016

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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].
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

Cite As

Lazaros Moysis (2021). Van der Pol Oscillator Simulink Model (https://www.mathworks.com/matlabcentral/fileexchange/46595-van-der-pol-oscillator-simulink-model), MATLAB Central File Exchange. Retrieved .

Comments and Ratings (5)

AHMED FAKHRI

how to demonstrate the limit cycle behaviour in this ?

Alexander Siegwardt

Wonderful, thanks a lot. Tried it myself, couldn't find the error in my version. Was looking for hours. Finally got it. Cheers!

FOCubes

FOCubes

No startup explanation

Oscar Loyola

MATLAB Release Compatibility
Created with R2013a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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