Positively expansive differentiable maps

DOI10.1007/s10114-010-9149-5zbMath1232.37018OpenAlexW2124014456MaRDI QIDQ601917

Sumit K. Garg

Publication date: 29 October 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/136709

zbMATH Keywords

expanding maps\(C^1\)-generic propertiespositively expansive maps

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Stability theory for smooth dynamical systems (37C75)

Related Items

Expansive measures versus Lyapunov exponents ⋮ POSITIVELY WEAK MEASURE EXPANSIVE DIFFERENTIABLE MAPS ⋮ Positively measure-expansive differentiable maps ⋮ Periodic orbits and expansiveness

Cites Work

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• Various shadowing properties for positively expansive maps
• An ergodic closing lemma
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• SHADOWABLE CHAIN TRANSITIVE SETS OF C¹-GENERIC DIFFEOMORPHISMS
• Expansive homoclinic classes
• Periodic Points of Positively Expansive Maps
• Endomorphisms of Compact Differentiable Manifolds
• Necessary Conditions for Stability of Diffeomorphisms