Gradient Infinite-Dimensional Random Dynamical Systems

DOI10.1137/120862752zbMath1260.37054OpenAlexW1984132243MaRDI QIDQ4904563

Zhenxin Liu, Tomás Caraballo Garrido, José Antonio Langa

Publication date: 30 January 2013

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/edc0dc720d8d9d5b4f111d7c8861d4cae9f037fd

zbMATH Keywords

random attractorsMorse decompositioninternal dynamics

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Topological dynamics of nonautonomous systems (37B55) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items (8)

Optimization and Convergence of Numerical Attractors for Discrete-Time Quasi-Linear Lattice System ⋮ Global synchronising behavior of evolution equations with exponentially growing nonautonomous forcing ⋮ Strong Morse–Lyapunov functions for Morse decompositions of attractors of random dynamical systems ⋮ Stability of regular attractors for non-autonomous random dynamical systems and applications to stochastic Newton-Boussinesq equations with delays ⋮ Forward attraction of pullback attractors and synchronizing behavior of gradient-like systems with nonautonomous perturbations ⋮ Morse decompositions of uniform random attractors ⋮ Structure of non-autonomous attractors for a class of diffusively coupled ODE ⋮ Continuity and topological structural stability for nonautonomous random attractors

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