Parametrized family of pseudo‐arc attractors: Physical measures and prime end rotations

DOI10.1112/plms.12448zbMath1527.37045arXiv2107.10347OpenAlexW4280585971MaRDI QIDQ6051520

Piotr Oprocha, Jernej Činč

Publication date: 20 September 2023

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.10347

zbMATH Keywords

Lebesgue measure-preserving mapOxtoby-Ulam measuresstrange planar attractors

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving maps of the circle (37E10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Rotation numbers and vectors (37E45)

Related Items (3)

Ramified continua as global attractors of C ¹ -smooth self-maps of a cylinder close to skew products ⋮ A transitive homeomorphism on the Lelek fan ⋮ On conjugacy of natural extensions of one-dimensional maps

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