Standard map: chaos on genuine area

About this app

The kicked rotor p′ = p + K·sin θ, θ′ = θ + p′ on the torus: islands of order next to a sea of chaos. Turn the kick strength K, click orbits and watch their Lyapunov exponent converge, follow the chaotic area share over K, zoom into islands. On the result from github.com/openai/math (family 146): for every sufficiently large K, chaos has positive area, i.e. positive metric entropy (Sinai's conjecture).

Subject: Open problems, solved by AI

More from Open problems, solved by AI

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• Hot spots conjecture (3D)
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