Chaotic Waves 2D — Driven Duffing Oscillator

t = 0.00 s

x₁ = 0.000 v₁ = 0.000

driving phase ϕ = 0.00 rad

Frequency ω 1.20 Amplitude γ 0.37

Damping δ 0.30 Nonlinearity β 1.00

Adds a twin trajectory started 10⁻³ away in x. Watch the two traces separate — exponential divergence is the signature of chaos.

Speed 4×

Driven Duffing oscillator:
Ẋ + δẉ + x + βx³ = γ·cos(ωt)
Integrated with RK4, dt = 0.01. Phase portrait: x (horizontal) vs ẉ (vertical).