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nlin.CD2002★ 18 cited
Hamiltonian mappings and circle packing phase spaces: numerical investigations
A. J. Scott
In a previous paper we introduced examples of Hamiltonian mappings with phase space structures resembling circle packings. We now concentrate on one particular mapping and present…
nlin.CD2001
Periodic orbit quantization of a Hamiltonian map on the sphere
A. J. Scott, G. J. Milburn
In a previous paper we introduced examples of Hamiltonian mappings with phase space structures resembling circle packings. It was shown that a vast number of periodic orbits can be…
nlin.CD2000
Hamiltonian mappings and circle packing phase spaces
A. J. Scott, C. A. Holmes, G. J. Milburn
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 diffe…