Tangencies in invariant disc packings for certain planar piecewise isometries are rare

DOI10.1080/14689360110073650zbMath1032.37026OpenAlexW1977967243WikidataQ61951279 ScholiaQ61951279MaRDI QIDQ4444076

Xin-Chu Fu, Peter Ashwin

Publication date: 19 January 2004

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10036/20535

zbMATH Keywords

invariant settwo-dimensional mapsmaximal packingsisometries on some partitiontangencies between discs

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Symbolic dynamics (37B10)

Related Items (16)

Dynamical properties of 2-torus parabolic maps ⋮ The unique ergodic measure of the symmetric piecewise toral isometry of rotation angle θ=kπ/5 is the Hausdorff measure of its singular set ⋮ Tangent-free property for periodic cells generated by some general piecewise isometries ⋮ On codings and dynamics of planar piecewise rotations ⋮ Polygonal invariant curves for a planar piecewise isometry ⋮ Invariant measures for planar piecewise isometries ⋮ PROPERTIES OF THE INVARIANT DISK PACKING IN A MODEL BANDPASS SIGMA–DELTA MODULATOR ⋮ Dynamical behaviors and codings of invertible planar piecewise isometric systems ⋮ On global attractors for a class of nonhyperbolic piecewise affine maps ⋮ Tangents-free property in invariant disk packings generated by some general planar piecewise isometries ⋮ Hamiltonian mappings and circle packing phase spaces: numerical investigations ⋮ Tangency properties of a pentagonal tiling generated by a piecewise isometry ⋮ Dynamics of kaleidoscopic maps ⋮ Singularities of two-dimensional invertible piecewise isometric dynamics ⋮ Chaotic sets of continuous and discontinuous maps ⋮ Density of invariant disk packings for planar piecewise isometries

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