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Duffing Map

Discretized double-well oscillator demonstrating bistable dynamics and chaos

Duffing Map Visualization

Parameters producing chaotic dynamics in both wells

Parameters:

a = 1.20 (Well depth)

b = 0.30 (Damping)

Equations:

x' = y

y' = -b·y + a·x - x³

Potential: V(x) = -0.5·a·x² + 0.25·x⁴