Piecewise rotations: limit set for the non-bijective maps

DOI10.1080/14689367.2022.2132917zbMath1525.37040arXiv2202.13107OpenAlexW4307286262WikidataQ121848901 ScholiaQ121848901MaRDI QIDQ6042236

Idrissa Kaboré, Nicolas Bédaride, Jean-François Bertazzon

Publication date: 16 May 2023

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

Full work available at URL: https://arxiv.org/abs/2202.13107

zbMATH Keywords

limit setpiecewise rotations of the plane

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Stability theory for smooth dynamical systems (37C75) Rotation numbers and vectors (37E45)

Cites Work

• Unnamed Item
• Dynamics of a piecewise rotation
• Dynamics of piecewise isometries
• Three distance theorems and combinatorics on words
• Symbolic dynamics of a piecewise rotation: case of the non symmetric bijective maps
• On the geometry of orientation-preserving planar piecewise isometries
• Piecewise isometries have zero topological entropy
• Global properties of a family of piecewise isometries
• A dichotomy for a two-parameter piecewise rotation
• Piecewise isometries, uniform distribution and 3log 2−π²/8
• Perturbations of 8-Attractors and Births of Satellite Systems

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