An entropy dichotomy for singular star flows
From MaRDI portal
Publication:6093515
DOI10.1090/tran/8989arXiv2101.09480OpenAlexW3121708351MaRDI QIDQ6093515
Maria Jose Pacifico, Unnamed Author, Jiagang Yang
Publication date: 7 September 2023
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.09480
Entropy and other invariants (28D20) Dynamics induced by flows and semiflows (37C10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the singular-hyperbolicity of star flows
- Periodic orbits and chain-transitive sets of \(C^1\)-diffeomorphisms
- Indices of singularities of robustly transitive sets
- Structural stability of Lorenz attractors
- Contributions to the stability conjecture
- A generalized shadowing lemma
- Robust transitive singular sets for 3-flows are partially hyperbolic attractors or repellers
- Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
- \({\mathcal X}^*\) plus axiom A does non imply no-cycle
- Entropy theory for sectional hyperbolic flows
- Star flows and multisingular hyperbolicity
- On the notions of singular domination and (multi-)singular hyperbolicity
- Hyperbolic sets that are not contained in a locally maximal one
- Nonsingular star flows satisfy Axiom A and the no-cycle condition
- Robustly transitive singular sets via approach of an extended linear Poincaré flow
- Three-Dimensional Flows
- Sectional-hyperbolic systems
- Diffeomorphisms in ℱ1(M) satisfy Axiom A
- Singular hyperbolic systems
- Morse-Smale systems and horseshoes for three dimensional singular flows
- Necessary Conditions for Stability of Diffeomorphisms
- Entropy-Expansive Maps
- Recurrence and genericity
