Double Pendulum & Lyapunov Chaos
Two pendulums start nearly identical — watch exponential divergence
Initial δθ (separation)
0.001 rad
Gravity
g = 9.8
L₁ length
90px
Speed
x2
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Lyapunov exponent λ > 0 means chaos — nearby trajectories diverge exponentially. The separation Δ(t) ≈ δ·e^(λt).