Hamiltonian mappings and circle packing phase spaces
Chaotic Dynamics
2007-05-23 v4
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.
Cite
@article{arxiv.nlin/0001037,
title = {Hamiltonian mappings and circle packing phase spaces},
author = {A. J. Scott and C. A. Holmes and G. J. Milburn},
journal= {arXiv preprint arXiv:nlin/0001037},
year = {2007}
}
Comments
23 pages including 12 figures, REVTEX4