Hamiltonian mappings and circle packing phase spaces
classification
🌊 nlin.CD
keywords
phasespacecirclehamiltonianthreeappearareacircular
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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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