Hamiltonian mappings and circle packing phase spaces

Details Hamiltonian mappings and circle packing phase spaces Hamiltonian mappings and circle packing phase spaces

2000-01-19

arxiv.org/abs/nlin/0001037v4

Physica D 155, 34 (2001)

Nonlinear Sciences

Chaotic Dynamics

23 pages including 12 figures, REVTEX4

Scientific paper

10.1016/S0167-2789(01)00263-9

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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