There are no proper topological hyperbolic homoclinic classes for area-preserving maps

DOI10.1017/S0013091519000282OpenAlexW2988651818MaRDI QIDQ5111611

Maria Joana Torres, Mário Bessa

Publication date: 27 May 2020

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

Full work available at URL: https://doi.org/10.1017/s0013091519000282

zbMATH Keywords

topological dynamicsshadowingexpansivenesshomoclinic classes

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Cites Work

• Expansive homeomorphisms of surfaces
• Dynamics of topologically generic homeomorphisms
• Differentiable dynamical systems
• Hyperbolic Limit Sets
• Expansive homeomorphisms of compact surfaces are pseudo-Anosov
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