Chirikov Standard Map

The kicked rotor: area-preserving map on the torus T². KAM tori survive for small k (integrable), break down at k≈0.97 (Chirikov threshold), giving way to chaos.

p_{n+1} = p_n + k·sin(θ_n)

θ_{n+1} = θ_n + p_{n+1} (mod 2π)

k = 0.500 Orbits: 60 Steps/orbit: 800

Click on canvas to add orbit from that point