On decomposition of ambient surfaces admitting \(A\)-diffeomorphisms with non-trivial attractors and repellers

DOI10.3934/dcds.2022024zbMath1498.37051arXiv2111.11895OpenAlexW3214821732MaRDI QIDQ2144303

D. I. Mints, Vyacheslav Z. Grines

Publication date: 1 June 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.11895

zbMATH Keywords

nonwandering setbasic set\(A\)-diffeomorphismone-dimensional attractor and repeller

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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