The \(C^1\) closing Lemma for generic \(C^1\) endomorphisms

DOI10.1016/J.ANIHPC.2010.09.003zbMath1214.37009OpenAlexW2054935456WikidataQ124811925 ScholiaQ124811925MaRDI QIDQ619860

Alvaro Rovella, Martín Sambarino

Publication date: 18 January 2011

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2010.09.003

zbMATH Keywords

critical pointsperiodic pointsresidual setnonwandering setclosing lemma\(C^r\)-endomorphism

Mathematics Subject Classification ID

Critical points of functions and mappings on manifolds (58K05) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (4)

Some Recent Results on the Stability of Endomorphisms ⋮ Katok closing lemma for non-singular endomorphisms ⋮ POSITIVELY WEAK MEASURE EXPANSIVE DIFFERENTIABLE MAPS ⋮ Positively measure-expansive differentiable maps

Cites Work

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• The C¹ closing lemma for non-singular endomorphisms
• The C¹ Closing Lemma, including Hamiltonians
• The C 1 Closing Lemma for Endomorphisms with Finitely Many Singularities
• The Closing Lemma
• Endomorphisms of Compact Differentiable Manifolds

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