Duffing Chaos Map
ẍ − x + x³ = γcos(ωt) — strange attractor and Poincaré section
Attractor
Poincaré
Bifurcation
Duffing Parameters
Forcing amplitude γ:
0.37
Damping δ:
0.25
Drive frequency ω:
1.00
Iterations:
8000
Compute
γ =
—
Points plotted:
—
Mode:
attractor
ẍ = x − x³ − δẋ + γcos(ωt)
Double-well potential V = −x²/2 + x⁴/4
Attractor: phase space trajectory
Poincaré: sample at t = 2πn/ω
Bifurcation: x* vs γ
Chaos onset: γ ≈ 0.28
Strange attractor for γ ≈ 0.37