On the existence of attractors
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Publication:4913814
DOI10.1090/S0002-9947-2012-05644-3zbMath1272.37019arXiv0904.4393OpenAlexW1992271710MaRDI QIDQ4913814
Da-Wei Yang, Ming Li, Christian Bonatti
Publication date: 16 April 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.4393
Dynamics induced by flows and semiflows (37C10) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)
Related Items (6)
Attracting currents and equilibrium measures for quasi-attractors of \(\mathbb {P}^k\) ⋮ Thermodynamical u-formalism I: measures of maximal u-entropy for maps that factor over Anosov ⋮ Partially volume expanding diffeomorphisms ⋮ Attractors and skew products ⋮ Volume hyperbolicity and wildness ⋮ On Araujo's theorem for flows
Cites Work
- Unnamed Item
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- Indices of singularities of robustly transitive sets
- On the concept of attractor
- Structural stability of Lorenz attractors
- The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
- High dimension diffeomorphisms displaying infinitely many periodic attractors
- On maximal transitive sets of generic diffeomorphisms
- A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources
- SRB measures for partially hyperbolic systems whose central direction is mostly expanding
- Homoclinic tangencies and hyperbolicity for surface diffeomorphisms
- Lyapunov stability of \(\omega\)-limit sets
- Robust transitive singular sets for 3-flows are partially hyperbolic attractors or repellers
- An ergodic closing lemma
- Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
- Diffeomorphisms with infinitely many sinks
- A global perspective for non-conservative dynamics
- Robustly transitive singular sets via approach of an extended linear Poincaré flow
- A robustly chain transitive attractor with singularities of different indices
- Perturbations of the derivative along periodic orbits
- Sectional-hyperbolic systems
- Attractors: Persistence, and Density of Their Basins
- On C1 robust singular transitive sets for three-dimensional flows
- Deterministic Nonperiodic Flow
- Homoclinic tangencies and dominated splittings
- Hyperbolic sets exhibiting $C^1$-persistent homoclinic tangency for higher dimensions
- Open questions leading to a global perspective in dynamics
- Differentiable dynamical systems
- One-Dimensional Basic Sets in the Three-Sphere
- Recurrence and genericity
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