Van der Pol oscillator

In the study of dynamical systems, the van der Pol oscillator (named for Dutch physicist Balthasar van der Pol) is a non-conservative, oscillating system with non-linear damping. It evolves in time according to the second-order differential equation

{d^{2}x \over dt^{2}}-\mu (1-x^{2}){dx \over dt}+x=0,

where $x$ is the position coordinate—which is a function of the time $t$ —and $μ$ is a scalar parameter indicating the nonlinearity and the strength of the damping.

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