The Arnold web

The Arnold Web

taken from: Graphical Evolution of the Arnold Web: from order to chaos C. Froeschle', M. Guzzo, E. Lega, Science, v. 289, 2000, 2108-2110.

This picture represents the Arnold web for a nearly integrable Hamiltonian system for a fixed value of the perturbative parameter. In purple are colored the zones of phase space filled by KAM tori (regular motions); in yellow, the chaotic regions rising at the crossing nodes of resonant lines or to the presence of separatrices; in black appear the resonant island of the Arnold web.