2000/01/31 by A. J. Scott, A.J. Scott, C. A. Holmes +1 · 3 citations
Mathematics · Physics and Astronomy · #Astro and Planetary Science #Circle packing #Classical mechanics #Computer science #Geometry #Hamiltonian (control theory) #Hamiltonian system #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Phase (matter) #Phase space #Physics #Planar #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #Space (punctuation) #nlin.CD
paper · pdf · doi:10.1016/s0167-2789(01)00263-9
published as Physica D 155, 34 (2001) · 23 pages including 12 figures, REVTEX4
arxiv created 2001/02/21 · openalex publication_date 2001/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.