Hamiltonian mappings and circle packing phase spaces
A. J. Scott, C. A. Holmes, G. J. Milburn
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.
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