On the number of ergodic physical/SRB measures of singular-hyperbolic attracting sets
From MaRDI portal
Publication:2689476
DOI10.1016/J.JDE.2023.02.008OpenAlexW4320891760MaRDI QIDQ2689476
Publication date: 10 March 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.10084
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homoclinic classes for sectional-hyperbolic sets
- Existence and uniqueness of SRB measure on \(C^1\) generic hyperbolic attractors
- A non-autonomous flow system with Plykin type attractor
- Rapid mixing for the Lorenz attractor and statistical limit laws for their time-1 maps
- Structural stability of Lorenz attractors
- The structure of Lorenz attractors
- The ergodic theory of axiom A flows
- Robust transitive singular sets for 3-flows are partially hyperbolic attractors or repellers
- The Lorenz equations: bifurcations, chaos, and strange attractors
- Empirical measures of partially hyperbolic attractors
- Hyperbolic flows
- Mixing properties and statistical limit theorems for singular hyperbolic flows without a smooth stable foliation
- Upper large deviations bound for singular-hyperbolic attracting sets
- Dominated splittings for flows with singularities
- Hyperbolic Chaos
- Examples of singular-hyperbolic attracting sets
- Three-Dimensional Flows
- A sectional-Anosov connecting lemma
- Invariant measures for singular hyperbolic attractors
- Singular-hyperbolic attractors are chaotic
- Gibbs measures for partially hyperbolic attractors
- An inequality for the entropy of differentiable maps
- A Measure Associated with Axiom-A Attractors
- Singular hyperbolic systems
- The Lorenz attractor exists
- Separating the Basic Sets of a Nontransitive Anosov Flow
- Attracteurs de Lorenz de variété instable de dimension arbitraire
- Deterministic Nonperiodic Flow
- The explosion of singular-hyperbolic attractors
- Finitely many physical measures for sectional-hyperbolic attracting sets and statistical stability
- Existence and smoothness of the stable foliation for sectional hyperbolic attractors
- GIBBS MEASURES IN ERGODIC THEORY
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- What's new on Lorenz strange attractors?
This page was built for publication: On the number of ergodic physical/SRB measures of singular-hyperbolic attracting sets