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Double pendulum — butterfly effect (3D)
Up to 60 double pendulums start almost identically — their glowing trails form a 3D curtain that visibly tears into chaos. Perturbation Δθ₀ down to 10⁻⁷° adjustable, a divergence plot shows exponential growth (Lyapunov); at small angles everything stays permanently ordered.
Chaos & DynamicsTry itThree-body chaos (3D)
More than 2,000 periodic three-body orbits from the Li–Liao database in 3D — figure-8, goggles, yin-yang and thousands of equal- and unequal-mass families. A 0.1 % nudge against an unperturbed ghost run shows how the very same equation tips into chaos.
Chaos & DynamicsTry itLorenz attractor — butterfly effect (3D)
The Lorenz equations integrated live as a glowing ribbon: two paths with an initial offset down to 10⁻⁹ drift apart and yet stay on the same double loop. ρ below 24.74 lets the path fall into a fixed point; distance and behaviour are shown. Exhibit-ready.
Chaos & DynamicsTry itStrange attractors (3D)
Twelve chaotic systems (Lorenz, Rössler, Aizawa, Thomas, Halvorsen, Chen, Lü, Dadras, Sprott, Arneodo, Four-Wing, Rabinovich–Fabrikant) as particle drops with a leading trail, equations and live parameters. The twin experiment shows how an offset of 10⁻³ grows exponentially — deterministic and yet unpredictable.
Chaos & DynamicsTry it