Weak synchronization for isotropic flows

DOI10.3934/dcdsb.2016084zbMath1368.37059arXiv1510.09096OpenAlexW2963921308MaRDI QIDQ727467

Benjamin Gess, Michael K. R. Scheutzow, Michael Craig Cranston

Publication date: 7 December 2016

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

Full work available at URL: https://arxiv.org/abs/1510.09096

zbMATH Keywords

stochastic differential equationsynchronizationrandom attractorLyapunov exponentrandom dynamical systemstatistical equilibriumisotropic Brownian flowisotropic Ornstein-Uhlenbeck flow

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Generation, random and stochastic difference and differential equations (37H10) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (4)

Random dynamical systems, rough paths and rough flows ⋮ Synchronisation of almost all trajectories of a random dynamical system ⋮ Ergodicity for singular-degenerate stochastic porous media equations ⋮ Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3

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• Équilibre statistique pour les produits de difféomorphismes aléatoires indépendants. (Statistical equilibrium for products of independent random diffeomorphisms)
• Synchronization by noise
• Synchronization by noise for order-preserving random dynamical systems

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