Hamiltonian mappings and circle packing phase spaces: numerical investigations

Abstract

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 numerical evidence which supports the conjecture that the set of circular resonance islands is dense in phase space.

arXiv comment9 pages, 2 figures

References in corpus (3)

• Hamiltonian mappings and circle packing phase spaces
• Linear Parabolic Maps on the Torus
• Periodic orbit quantization of a Hamiltonian map on the sphere

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