Van der Pol Oscillator Synchronization — Coupled Nonlinear Oscillators

♡ Van der Pol Sync

Damping μ 1.5 Coupling κ 0.0 Phase offset Δφ 90° Speed 1.0×

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Synchronization

Not synced

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|Δφ| (deg)

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Order r

Van der Pol ODE: ẍ − μ(1−x²)ẋ + x = 0. Two coupled oscillators via κ(xⱼ−xᵢ). At κ>0 they spontaneously synchronise — key model for cardiac pacemaker cells, circadian rhythms, and neuron bursting.