On codings and dynamics of planar piecewise rotations

DOI10.1016/j.physd.2011.08.001zbMath1246.37064OpenAlexW2036788479MaRDI QIDQ652400

Lin Ye, Xin-Chu Fu, Rong-Zhong Yu

Publication date: 14 December 2011

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2011.08.001

zbMATH Keywords

piecewise isometryirrational codingpiecewise rotationrational coding

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Symbolic dynamics (37B10) Rotation numbers and vectors (37E45)

Related Items (1)

Tangent-free property for periodic cells generated by some general piecewise isometries

Cites Work

• Packings induced by piecewise isometries cannot contain the Arbelos
• Dynamical behaviors and codings of invertible planar piecewise isometric systems
• A note on the coding of orbits in certain discontinuous maps
• Global stability of a class of discontinuous dual billiards
• Rectangle exchange transformations
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• Symbolic analysis for some planar piecewise linear maps
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• Dynamics of piecewise isometries
• On the geometry of orientation-preserving planar piecewise isometries
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• Tangents-free property in invariant disk packings generated by some general planar piecewise isometries
• Stability of piecewise rotations and affine maps
• Piecewise isometries have zero topological entropy
• Stability of periodic points in piecewise isometries of Euclidean spaces
• Density of invariant disk packings for planar piecewise isometries
• Tangency properties of a pentagonal tiling generated by a piecewise isometry
• Global attraction in the sigma–delta modulator piecewise isometry
• Tangencies in invariant disc packings for certain planar piecewise isometries are rare
• PERIODICITY AND RECURRENCE IN PIECEWISE ROTATIONS OF EUCLIDEAN SPACES
• Perturbations of 8-Attractors and Births of Satellite Systems
• Singularities of two-dimensional invertible piecewise isometric dynamics
• Interval exchange transformations
• Interval exchange transformations
• Hamiltonian mappings and circle packing phase spaces

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