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Hamiltonian mappings and circle packing phase spaces

A. J. Scott·C. A. Holmes·G. J. Milburn
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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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A. J. Scott, C. A. Holmes, G. J. Milburn. 2001-02-21. Hamiltonian mappings and circle packing phase spaces. https://doi.org/10.1016/s0167-2789(01)00263-9

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