Duffing Oscillator
Forced Nonlinear Oscillator · Period Doubling · Strange Attractor · Poincaré Section
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Strange Attractor
Poincaré Section
Time Series
Bifurcation
Forcing Amplitude γ
0.280
Forcing Frequency ω
1.00
Damping δ
0.15
Nonlinearity β
1.00
ẍ + δẋ + αx + βx³ = γcos(ωt)
Double well: α=-1 (bistable potential)
Period doubling → chaos: γ_c ≈ 0.2645
Lyapunov λ > 0 signals chaos