Exponential decay of correlations for nonuniformly hyperbolic flows with a \(C^{1+\alpha}\) stable foliation, including the classical Lorenz attractor
DOI10.1007/s00023-016-0482-9zbMath1367.37033arXiv1504.04316OpenAlexW3101429996MaRDI QIDQ345048
Publication date: 25 November 2016
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.04316
Dynamics induced by flows and semiflows (37C10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
Related Items (30)
Uses Software
Cites Work
- Robust exponential decay of correlations for singular-flows
- Rapid mixing for the Lorenz attractor and statistical limit laws for their time-1 maps
- The Lorenz attractor is mixing
- Exponential mixing for the Teichmüller flow
- On the rate of mixing of Axiom A flows
- Markov approximations and decay of correlations for Anosov flows
- On decay of correlations in Anosov flows
- Bernoulli flows over maps of the interval
- A rigorous ODE solver and Smale's 14th problem
- On contact Anosov flows
- Robust transitive singular sets for 3-flows are partially hyperbolic attractors or repellers
- Disintegration of invariant measures for hyperbolic skew products
- Open sets of Axiom A flows with exponentially mixing attractors
- Exponential mixing for skew products with discontinuities
- Three-Dimensional Flows
- Singular-hyperbolic attractors are chaotic
- Prevalence of non-Lipschitz Anosov foliations
- Exponential decay of correlations for surface semi-flows without finite Markov partitions
This page was built for publication: Exponential decay of correlations for nonuniformly hyperbolic flows with a \(C^{1+\alpha}\) stable foliation, including the classical Lorenz attractor