
Van der Pol oscillator
Oscillating dynamical system with nonlinear damping

Oscillating dynamical system with nonlinear damping
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 d2xdt2+μ(1−x2)dxdt+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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