Generalizations of SRB measures to nonautonomous, random, and infinite dimensional systems
DOI10.1007/s10955-016-1639-0zbMath1365.37061OpenAlexW2538334073MaRDI QIDQ526577
Publication date: 15 May 2017
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10955-016-1639-0
Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generation, random and stochastic difference and differential equations (37H10) PDEs with randomness, stochastic partial differential equations (35R60) Infinite-dimensional random dynamical systems; stochastic equations (37L55)
Related Items (8)
Cites Work
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- SRB measures for a class of partially hyperbolic attractors in Hilbert spaces
- Dispersing billiards with moving scatterers
- 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
- Invariant manifolds for flows in Banach spaces
- Escape rates and physically relevant measures for billiards with small holes
- Dynamics of periodically kicked oscillators
- Stochastic climate dynamics: random attractors and time-dependent invariant measures
- The dynamics of the Hénon map
- Smooth ergodic theory for endomorphisms
- Memory loss for time-dependent dynamical systems
- Reliability of coupled oscillators
- The Lyapunov dimension of strange attractors
- The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
- Entropy formula for random transformations
- Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki
- Dimension formula for random transformations
- Ergodic theory of differentiable dynamical systems
- Geometric theory of semilinear parabolic equations
- Characteristic exponents and invariant manifolds in Hilbert space
- Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
- Integral manifolds and inertial manifolds for dissipative partial differential equations
- Smoothness of inertial manifolds
- The ergodic theory of axiom A flows
- Statistical properties of dynamical systems with some hyperbolicity
- Sinai-Bowen-Ruelle measures for certain Hénon maps
- From invariant curves to strange attractors
- Infinite-dimensional dynamical systems in mechanics and physics.
- Strange attractors in periodically-kicked limit cycles and Hopf bifurcations
- Absolute continuity of stable foliations for systems on Banach spaces
- Équilibre statistique pour les produits de difféomorphismes aléatoires indépendants. (Statistical equilibrium for products of independent random diffeomorphisms)
- Almost every real quadratic map is either regular or stochastic.
- Propriétés ergodiques des mesures de Sinaï
- Toward a theory of rank one attractors
- Absolute continuity of stable foliations for mappings of Banach spaces
- Lyapunov exponents, periodic orbits, and horseshoes for semiflows on Hilbert spaces
- Shear-Induced Bifurcations and Chaos in Models of Three Coupled Lasers
- Dissipative homoclinic loops of two-dimensional maps and strange attractors with one direction of instability
- Non-stationary compositions of Anosov diffeomorphisms
- Entropy, Lyapunov exponents and escape rates in open systems
- Expanding Maps on Sets Which are Almost Invariant: Decay and Chaos
- A proof of the estimation from below in Pesin's entropy formula
- Chaotic attractors of relaxation oscillators
- Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space
- An inequality for the entropy of differentiable maps
- Qualitative analysis of the periodically forced relaxation oscillations
- Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces
- A Measure Associated with Axiom-A Attractors
- CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
- Conditionally invariant measures for Anosov maps with small holes
- The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems
- Invariant measures for Anosov maps with small holes
- Ergodic theory of chaos and strange attractors
- Ergodic Attractors
- Strange Attractors for Periodically Forced Parabolic Equations
- Escape rates and conditionally invariant measures
- Horseshoes in the forced van der Pol system
- GIBBS MEASURES IN ERGODIC THEORY
- Dynamical systems with elastic reflections
- Some Large Deviation Results for Dynamical Systems
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Strange attractors with one direction of instability
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