A proof of the \(C^ 1\) stability conjecture
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Publication:1124188
DOI10.1007/BF02698931zbMath0678.58022OpenAlexW2314726047WikidataQ123166083 ScholiaQ123166083MaRDI QIDQ1124188
Publication date: 1988
Published in: Publications Mathématiques (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=PMIHES_1987__66__161_0
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20) Stability theory for smooth dynamical systems (37C75)
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Cites Work
- Stability of singular horseshoes
- On the creation of homoclinic points
- Structural stability of \(C^1\) diffeomorphisms
- An ergodic closing lemma
- A structural stability theorem
- Persistent Manifolds are Normally Hyperbolic
- The Closing Lemma
- Differentiable dynamical systems
- Necessary Conditions for Stability of Diffeomorphisms
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Invariant manifolds
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