Orbits of the Chirikov Standard Map

The standard map describes a universal, generic behavior of area-preserving maps with divided phase space in which integrable islands of stability are surrounded by chaotic regions. Orbits of the Chirikov standard map are generated by iterating the map times using different initial points. Two orbits are plotted initially; you can add or delete new ones with Alt+Click in the graphic. Three different orbit colors are used cyclically, so that a surface of sections on the map are apparent.