On Diffeomorphisms of Compact 2-Manifolds with All Nonwandering Points Being Periodic

DOI10.1142/S0218127415400209zbMath1417.37087arXiv1404.6006OpenAlexW3106339512MaRDI QIDQ2800660

Michael W. Hero, Suzanne Hruska Boyd, Juan Luis García Guirao

Publication date: 18 April 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6006

zbMATH Keywords

diffeomorphismperiodic pointnonwandering pointaxiom A

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (1)

On the spectra of certain matrices and the iteration of quadratic maps

Cites Work

• Entropy zero area preserving diffeomorphisms of \(S^{2}\)
• On skew-product maps with the base having a closed set of periodic points

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