Attractors with irrational rotation number

DOI10.1017/S0305004111000788zbMath1267.37040MaRDI QIDQ2898403

Luis Hernández-Corbato, Rafael Ortega, Francisco Romero Ruiz del Portal

Publication date: 11 July 2012

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

zbMATH Keywords

rotation numberprime endsplanar attractorDenjoy homeomorphism

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving maps of the circle (37E10) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Rotation numbers and vectors (37E45) Cluster sets, prime ends, boundary behavior (30D40)

Related Items (4)

An eigenvalue condition and the equivalence of two-dimensional maps ⋮ Parametrized family of pseudo‐arc attractors: Physical measures and prime end rotations ⋮ Prime ends dynamics on invariant Peano continua ⋮ Nontrivial attractor-repellor maps of \(S^2\) and rotation numbers

Cites Work

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• Accessible saddles on fractal basin boundaries
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• A Brouwer-like theorem for orientation reversing homeomorphisms of the sphere
• Homeomorphisms of the Circle Without Periodic Points

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