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.
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\(\mu =\frac {1}{2}\) and IC \(x(0)=0.1,\dot {x}(0)=0\) |
\(\mu =2\) and IC \(x(0)=0.01,\dot {x}(0)=0\) |
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\(\mu =\frac {1}{10}\) and IC \(x(0)=4,\dot {x}(0)=1.5\)
| \(\mu =\frac {1}{30}\) and IC \(x(0)=4,\dot {x}(0)=1.5\)
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