4 Van der Pol system

These are animations of \(\ddot{x}+x=\mu (1-x^2)\dot{x}\) for different \(\mu \) and different initial conditions showing the limit cycle.

\(\mu =\frac{1}{2}\) and IC \(x(0)=0.1,\dot{x}(0)=0\) Pause Play Restart Step forward Step back	\(\mu =2\) and IC \(x(0)=0.01,\dot{x}(0)=0\) Pause Play Restart Step forward Step back
\(\mu =\frac{1}{10}\) and IC \(x(0)=4,\dot{x}(0)=1.5\) Pause Play Restart Step forward Step back	\(\mu =\frac{1}{30}\) and IC \(x(0)=4,\dot{x}(0)=1.5\) Pause Play Restart Step forward Step back