Uniform hyperbolicity along periodic orbits
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Publication:2845460
DOI10.1090/S0002-9939-2013-11553-4zbMath1297.37007MaRDI QIDQ2845460
Publication date: 30 August 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)
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Cites Work
- Unnamed Item
- Nonuniform hyperbolicity for \(C^{1}\)-generic diffeomorphisms
- 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
- Codimension one generic homoclinic classes with interior
- On the hyperbolicity of homoclinic classes
- A proof of the \(C^ 1\) stability conjecture
- Heteroclinic cycles and homoclinic closures for generic diffeomorphisms
- An ergodic closing lemma
- Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
- Partial hyperbolicity and homoclinic tangencies
- On the dynamics of dominated splitting
- New criteria for hyperbolicity based on periodic sets
- Pointwise hyperbolicity implies uniform hyperbolicity
- Critical points for surface diffeomorphisms
- Generic diffeomorphisms away from homoclinic tangencies and heterodimensional cycles
- Periodic points and homoclinic classes
- ROBUST HETERODIMENSIONAL CYCLES AND $C^1$-GENERIC DYNAMICS
- Uniform hyperbolicity for random maps with positive Lyapunov exponents
- Generic bi-Lyapunov stable homoclinic classes
- Expansive homoclinic classes
- Diffeomorphisms in ℱ1(M) satisfy Axiom A
- Non-zero Lyapunov exponents and uniform hyperbolicity
- Homoclinic classes for generic C^1 vector fields
- On the uniform hyperbolicity of some nonuniformly hyperbolic systems
- Attractors of generic diffeomorphisms are persistent
- Diffeomorphisms with C 2 stable shadowing
- Shadowing by non-uniformly hyperbolic periodic points and uniform hyperbolicity
- Recurrence and genericity