General expansiveness for diffeomorphisms from the robust and generic properties

DOI10.1007/s10883-015-9288-1zbMath1370.37064OpenAlexW2224885496MaRDI QIDQ315747

Manseob Lee

Publication date: 23 September 2016

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-015-9288-1

zbMATH Keywords

expansive\(\Omega\)-stablequasi-Anosov flow

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (7)

Continuum-wise expansiveness for generic diffeomorphisms ⋮ Kinematic N-expansive continuous dynamical systems ⋮ Asymptotic measure expansive flows ⋮ Continuum-wise expansiveness for non-conservative or conservative systems ⋮ Continuum-wise expansiveness for discrete dynamical systems ⋮ Asymptotic measure-expansiveness for generic diffeomorphisms ⋮ Measure expansive symplectic diffeomorphisms and Hamiltonian systems

Cites Work

• Periodic orbits and expansiveness
• A generalization of expansivity
• Levels of generalized expansiveness
• Measure-expansive diffeomorphisms
• N-expansive homeomorphisms on surfaces
• Expansive homoclinic classes
• Diffeomorphisms in ℱ¹(M) satisfy Axiom A
• Persistent Manifolds are Normally Hyperbolic
• Necessary Conditions for Stability of Diffeomorphisms
• Invariant manifolds

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