Invariant foliations for random dynamical systems

DOI10.3934/dcds.2014.34.3639zbMath1351.37215OpenAlexW2329586347MaRDI QIDQ476714

Peter W. Bates, Kening Lu, Ji Li

Publication date: 2 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.3639

zbMATH Keywords

random dynamical systemsrandom invariant foliationsrandom normally hyperbolic invariant manifolds

Mathematics Subject Classification ID

Ordinary differential equations and systems with randomness (34F05) Generation, random and stochastic difference and differential equations (37H10) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Cites Work

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• Characteristic exponents and invariant manifolds in Hilbert space
• Smooth invariant foliations in infinite dimensional spaces
• Convex analysis and measurable multifunctions
• Tracking invariant manifolds with differential forms in singularly perturbed systems
• Normally hyperbolic invariant manifolds for random dynamical systems: Part I - persistence
• Sternberg theorems for random dynamical systems
• INVARIANT FOLIATIONS FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
• Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space
• Invariant manifolds for random and stochastic partial differential equations
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• Existence and persistence of invariant manifolds for semiflows in Banach space
• Persistence of overflowing manifolds for semiflow
• Invariant foliations near normally hyperbolic invariant manifolds for semiflows
• Invariant manifolds