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🦋 Chaos Theory: Twin Pendulums - 2D Divergence, Lyapunov Exponent and Phase Portrait

2D companion of the chaos theory twin pendulums simulation: two double pendulums with a tiny initial difference integrated with RK4, the angle-space separation on a log scale with a fitted Lyapunov exponent, energy-drift trace and a phase portrait.

Physics & Mechanics2DModerate60 FPS📱 Mobile-adapted⇄ 3D version
Chaos Theory: Twin Pendulums - 2D Divergence, Lyapunov Exponent and Phase Portrait ↗ Open standalone
⚙ Under the hood

2D companion of the chaos theory twin pendulums simulation: two double pendulums with a tiny initial difference integrated with RK4, the angle-space separation on a log scale with a fitted Lyapunov exponent, energy-drift trace and a phase portrait.

Chaos TheoryDouble PendulumLyapunov ExponentButterfly EffectNonlinear Dynamics

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install

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