Hamiltonian Chaos — Standard Map Poincaré Section

Chirikov standard map • KAM tori → chaos as K increases • Click to add orbit
0.97
1000
1.0
Total points0
K / K_critical
Last orbit type
Standard map: p_{n+1} = p_n + K·sin(θ_n) (mod 2π)  |  θ_{n+1} = θ_n + p_{n+1} (mod 2π)  |  K_c ≈ 0.9716... (Chirikov 1979)