Home▸Chaos & Dynamics▸Triple Pendulum Simulator: Lagrangian Chaos, Lyapunov Exponent and Trajectory Divergence

🎡 Triple Pendulum Simulator: Lagrangian Chaos, Lyapunov Exponent and Trajectory Divergence

Planar triple pendulum from the full Lagrangian (RK4 with energy-drift readout) on a Blender-built brass and steel rig: up to 64 ghost copies 1e-9 rad apart show trajectory divergence, the maximal Lyapunov exponent is measured two independent ways (Benettin renormalisation and two-trajectory slope), plus Poincare section, phase portrait, a fractal flip-time map and a lambda-versus-energy scan. Unlike the existing triple-pendulum pages it is a quantitative chaos lab with built-in accuracy checks (normal modes within 1 percent, energy drift below 1e-8).

Chaos & Dynamics3DAdvanced60 FPS📱 Mobile-adapted🟠 Blender
triple-pendulum-simulator-3d-lagrangian-chaos-lyapunov-exponent-phase-portrait-lab ↗ Open standalone
⚙ Under the hood

Planar triple pendulum from the full Lagrangian (RK4 with energy-drift readout) on a Blender-built brass and steel rig: up to 64 ghost copies 1e-9 rad apart show trajectory divergence, the maximal Lyapunov exponent is measured two independent ways (Benettin renormalisation and two-trajectory slope), plus Poincare section, phase portrait, a fractal flip-time map and a lambda-versus-energy scan. Unlike the existing triple-pendulum pages it is a quantitative chaos lab with built-in accuracy checks (normal modes within 1 percent, energy drift below 1e-8).

Trending ScienceChaosTriple PendulumLyapunov ExponentLagrangian Mechanics

3D · Three.js / WebGL renderer · 60 FPS target · runs fully client-side, no install

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