On Mañé's proof of the \(C^1\) stability conjecture

DOI10.1007/s10114-005-0522-0zbMath1142.37312OpenAlexW2019960815WikidataQ122923545 ScholiaQ122923545MaRDI QIDQ2581175

Yong Zhang, Shaobo Gan

Publication date: 9 January 2006

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

Full work available at URL: https://doi.org/10.1007/s10114-005-0522-0

zbMATH Keywords

Axiom AShadowing propertyDominated splittingNo-cycle condition

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Partially hyperbolic systems and dominated splittings (37D30)

Related Items

On \(\mathrm{C}^1\)-class local diffeomorphisms whose periodic points are nonuniformly expanding ⋮ Nonsingular star flows satisfy Axiom A and the no-cycle condition

Cites Work

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