CHAOS & THE DOUBLE PENDULUM

▸ Loading the double-pendulum Lagrange equations…
▸ Building the fixed-step RK4 integrator
▸ Spawning 3 copies off by 0.001 rad
▸ Loading the Lorenz system (σ=10 · β=8/3 · ρ=28)
▸ Letting go — letting chaos emerge…
▸ Ready — Online. ✅
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⌂ Complex systems

Simulation room Chaos & the double pendulum

Chaos
Online
deterministic · unpredictable
Phase space
🌀 Con lắc kép
(θ₁, θ₂) · phase trajectory
Angle θ₁
Angle θ₂
Energy
Time
Divergence
Mode
The idea
The double pendulum has no randomness at all — just Newton's laws. Yet an offset of 0,001 rad at release gives a totally different path: deterministic yet unpredictable.
Faint trail = the lower arm's track (chaotic orbit) · drag a bob to re-drop from a new position · try \"3 copies · Δθ=0.001\"
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Angle over time — 3 copies off by 0.001 (overlap then split) copy 1copy 2copy 3