Bi-Lyapunov stable homoclinic classes for \(C^1\) generic flows
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Publication:2044780
DOI10.1007/S10114-021-0420-8zbMath1476.37033OpenAlexW3186602346MaRDI QIDQ2044780
Publication date: 10 August 2021
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-021-0420-8
Dynamics induced by flows and semiflows (37C10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Partially hyperbolic systems and dominated splittings (37D30) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)
Cites Work
- Unnamed Item
- On bi-Lyapunov stable homoclinic classes
- Connecting invariant manifolds and the solution of the \(C^ 1\) stability and \(\Omega\)-stability conjectures for flows
- Periodic orbits and chain-transitive sets of \(C^1\)-diffeomorphisms
- A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources
- Lyapunov stable homoclinic classes for smooth vector fields
- Robustly transitive singular sets via approach of an extended linear Poincaré flow
- Création de connexions en topologie C1
- A Franks’ lemma that preserves invariant manifolds
- Perturbation of the Lyapunov spectra of periodic orbits
- Hyperbolicity versus weak periodic orbits inside homoclinic classes
- The C1 Closing Lemma, including Hamiltonians
- Perturbations of the derivative along periodic orbits
- Periodic points and homoclinic classes
- Generic bi-Lyapunov stable homoclinic classes
- Non-wandering sets with non-empty interiors
- 𝐶¹ Connecting Lemmas
- Morse-Smale systems and horseshoes for three dimensional singular flows
- Recurrence and genericity
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