Density of invariant disk packings for planar piecewise isometries

DOI10.1080/14689360601054759zbMath1115.37045OpenAlexW2134066036MaRDI QIDQ3436055

Shuliang Shui, Rong-Zhong Yu, Xin-Chu Fu

Publication date: 8 May 2007

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

Full work available at URL: https://doi.org/10.1080/14689360601054759

zbMATH Keywords

invariant measuresperiodic sequencecomplex dynamical behaviour under iterationmaps of the plane

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Symbolic dynamics (37B10)

Related Items (4)

Tangent-free property for periodic cells generated by some general piecewise isometries ⋮ On codings and dynamics of planar piecewise rotations ⋮ Invariant measures for planar piecewise isometries ⋮ Dynamical behaviors and codings of invertible planar piecewise isometric systems

Cites Work

• Dynamics of a piecewise rotation
• On the geometry of orientation-preserving planar piecewise isometries
• On the dual billiard problem
• Elliptic behaviour in the sawtooth standard map.
• Riddling and invariance for discontinuous maps preserving Lebesgue measure
• Lossless Digital Filter Overflow Oscillations; Approximation of Invariant Fractals
• Tangencies in invariant disc packings for certain planar piecewise isometries are rare
• Rotations by  /7
• Arithmetical properties of a family of irrational piecewise rotations

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