Hamiltonian mappings and circle packing phase spaces
arXiv:nlin/0001037 · doi:10.1016/S0167-2789(01)00263-9
Abstract
We introduce three area preserving maps with phase space structures which resemble circle packings. Each mapping is derived from a kicked Hamiltonian system with one of three different phase space geometries (planar, hyperbolic or spherical) and exhibits an infinite number of coexisting stable periodic orbits which appear to `pack' the phase space with circular resonances.
23 pages including 12 figures, REVTEX4