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Van der Pol Oscillator
Nonlinear Limit Cycle Dynamics
\[ \ddot{x} + \mu(x^2 - 1)\dot{x} + x = 0 \]
Nonlinearity (μ)
1.0
Time Speed
1.0x
Reset (Inside)
Reset (Outside)
State: Weakly Nonlinear
Trajectory spirals towards a nearly circular limit cycle. The damping term acts to pump energy when amplitude is small (|x|<1) and dissipate it when large (|x|>1).
Position (x) vs Velocity (y)
Time Evolution (Depth)
Limit Cycle Attractor