Katok closing lemma for non-singular endomorphisms

DOI10.1007/S00025-020-01192-6zbMath1441.37041OpenAlexW3015658574WikidataQ124801061 ScholiaQ124801061MaRDI QIDQ2175142

Pouya Mehdipour

Publication date: 28 April 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01192-6

zbMATH Keywords

endomorphismsdeterministic chaosergodic theorynonuniform hyperbolicity

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (1)

Lyapunov exponents and hyperbolic periodic orbits for endomorphisms

Cites Work

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• Non-uniformly hyperbolic flows and shadowing
• SRB measures and homoclinic relation for endomorphisms
• The \(C^1\) closing Lemma for generic \(C^1\) endomorphisms
• Smooth ergodic theory for endomorphisms
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• \(\omega\)-limit sets for axiom A diffeomorphisms
• Shadowing property of non-invertible maps with hyperbolic measures
• Unstable manifolds for endomorphisms
• An ergodic closing lemma
• Smooth ergodic theory of random dynamical systems
• New criteria for hyperbolicity based on periodic sets
• SRB measures and Pesin’s entropy formula for endomorphisms
• Numerical orbits of chaotic processes represent true orbits
• The C 1 Closing Lemma for Endomorphisms with Finitely Many Singularities
• FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS
• Shadowing of physical trajectories in chaotic dynamics: Containment and refinement
• The Closing Lemma

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