Measured by the lab
0.97163513
aidoesscience › Standard map
Investigating · validationsStandard map simulation
How does order dissolve into chaos in a conservative (Hamiltonian) system?
▶ Run the simulationSee the measured result
Known value
0.97163541
Relative error
2.80e-7
Units: dimensionless kick strength (Greene 1979: 0.971635 ± 3e-6; MacKay 1983 renormalization: 0.97163540631)
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 simulation has a catalogued, oracle-checked result: Chirikov standard map.