Existence of SRB measures for a class of partially hyperbolic attractors in Banach spaces
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Publication:524525
DOI10.3934/dcds.2017164zbMath1360.37091arXiv1603.01582OpenAlexW2963601198MaRDI QIDQ524525
Kening Lu, Zeng Lian, Pei-Dong Liu
Publication date: 3 May 2017
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.01582
Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
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On the abundance of Sinai-Ruelle-Bowen measures ⋮ Regular measurable dynamics for reaction-diffusion equations on narrow domains with rough noise ⋮ Equilibrium states for random lattice models of hyperbolic type ⋮ Random Gibbs \(u\)-state for partially hyperbolic on fibers system ⋮ Entropies of commuting transformations on Hilbert spaces ⋮ Strong convergence of bi-spatial random attractors for parabolic equations on thin domains with rough noise
Cites Work
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- SRB measures for a class of partially hyperbolic attractors in Hilbert spaces
- The metric entropy of random dynamical systems in a Hilbert space: characterization of invariant measures satisfying Pesin's entropy formula
- Entropy, volume growth and SRB measures for Banach space mappings
- Lyapunov exponents, periodic orbits and horseshoes for mappings of Hilbert spaces
- Smooth ergodic theory for endomorphisms
- Fibres dynamiques asymptotiquement compacts, exposants de Lyapunov. Entropie. Dimension. (Asymptotically compact dynamical bundles, Lyapunov exponents. Entropy. Dimension)
- Geometric theory of semilinear parabolic equations
- Characteristic exponents and invariant manifolds in Hilbert space
- Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics
- Infinite-dimensional dynamical systems in mechanics and physics.
- What are SRB measures, and which dynamical systems have them?
- Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
- The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
- Twisted plane wave expansions using hypercomplex methods
- A global perspective for non-conservative dynamics
- Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space
- Gibbs measures for partially hyperbolic attractors
- CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
- Ergodic theory of chaos and strange attractors
- Strange Attractors for Periodically Forced Parabolic Equations
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