Phase Portrait (x vs dx/dt)
Time Series
Van der Pol Oscillator
Parameter μ
1.00
Position x
0.00
Velocity dx/dt
0.00
Behavior
Limit Cycle
d²x/dt² − μ(1−x²)dx/dt + x = 0
Discovered by Balthasar van der Pol in 1927. When μ > 0, all trajectories spiral toward a stable limit cycle - a key example of self-sustained oscillation.