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AC 1 make or break lemma

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Publication:2710398
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DOI10.1007/BF01241633zbMath0972.37014WikidataQ124832113 ScholiaQ124832113MaRDI QIDQ2710398

Shuhei Hayashi

Publication date: 8 November 2001

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)


zbMATH Keywords

homoclinic orbitsergodic measuresgeneric propertiesconnecting lemma


Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Morse-Smale systems (37D15)


Related Items

On Peixoto’s conjecture for flows on non-orientable 2-manifolds ⋮ A $C^2$ generic trichotomy for diffeomorphisms: Hyperbolicity or zero Lyapunov exponents or the $C^1$ creation of homoclinic bifurcations ⋮ Closing lemmas ⋮ An extension of the ergodic closing lemma



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Connecting invariant manifolds and the solution of the \(C^ 1\) stability and \(\Omega\)-stability conjectures for flows
  • The \(C^ 1\) connecting lemma
  • Homoclinic tangencies and hyperbolicity for surface diffeomorphisms
  • An ergodic closing lemma
  • The C1 Closing Lemma, including Hamiltonians
  • MINIMAL AND STRANGE ATTRACTORS
  • 𝐶¹ Connecting Lemmas
  • An Improved Closing Lemma and a General Density Theorem
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