Hyperbolicity for conservative diffeomorphisms

DOI10.1134/S000143461803015XzbMath1394.37051OpenAlexW2800198057WikidataQ129974383 ScholiaQ129974383MaRDI QIDQ722162

A. Zamani Bahabadi

Publication date: 23 July 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143461803015x

zbMATH Keywords

hyperbolicitydominated splittinghomoclinic class

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

• Unnamed Item
• Structurally stable homoclinic classes
• A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources
• Uniform hyperbolicity along periodic orbits
• Diffeomorphisms with global dominated splittings cannot be minimal
• The C¹ Closing Lemma, including Hamiltonians
• Non-zero Lyapunov exponents and uniform hyperbolicity
• A pasting lemma and some applications for conservative systems

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