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Investigating · validations

Standard map

How does order dissolve into chaos in a conservative (Hamiltonian) system?

▶ Launch the interactive simulation

How the lab tests it

Iterate the kicked-rotor map, colour each orbit by its Lyapunov exponent, and measure the chaotic-area fraction as the kick K grows.

What it looks for

the KAM transition — invariant tori break near the critical kick K_c ≈ 0.9716

This is one world in the PHS lab — 91 interactive simulations, each posing a question and measuring the answer. See the catalogued findings.