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Hamiltonian mappings and circle packing phase spaces: numerical investigations

2002/11/04 by A. J. Scott, A.J. Scott · 1 citation
Mathematics · Physics and Astronomy · #Circle packing #Conjecture #Geometric and Algebraic Topology #Geometry #Hamiltonian (control theory) #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematical optimization #Mathematics #Phase (matter) #Phase space #Physics #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #nlin.CD

paper · pdf · doi:10.1016/s0167-2789(03)00095-2

published as Physica D 181, 45 (2003) · 9 pages, 2 figures

arxiv created 2002/11/04 · openalex publication_date 2003/06/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

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