Results 341 to 350 of about 5,060,729 (394)

Attractors for random dynamical systems

Probability Theory and Related Fields, 1994
A criterion for existence of global random attractors for RDS is established. Existence of invariant Markov measures supported by the random attractor is proved. For SPDE this yields invariant measures for the associated Markov semigroup. The results are applied to reation diffusion equations with additive white noise and to Navier-Stokes equations ...
FLANDOLI FRANCO, Hans Crauel
openaire   +4 more sources

On smooth approximation for random attractor of stochastic partial differential equations with multiplicative noise

Stochastics and Dynamics, 2017
Wong–Zakai type approximation for stochastic partial differential equations (abbreviate as PDEs) is well studied. Besides the polygonal approximation, a type of smooth noise approximation is considered. After showing the existence of random attractor for
Hongbo Fu, Xianming Liu, Jicheng Liu, Xiangjun Wang   +3 more
semanticscholar   +1 more source

Random Perturbations of Heteroclinic Attractors

SIAM Journal on Applied Mathematics, 1990
Estimates are derived for the mean recurrence time of orbits in the neighborhood of an attracting homoclinic orbit or heteroclinic cycle in an ordinary differential equation, subject to small additive random noise. The theory presented is illustrated with numerical simulations of several systems, including ones invariant under symmetry groups, for ...
Peter J. Holmes, Emily Stone
openaire   +2 more sources

Morse decompositions of uniform random attractors

Journal of Differential Equations, 2021
Abstract In this paper, we study the Morse theory on uniform random attractors for non-autonomous random dynamical systems. To handle the non-invariance of uniform random attractors, we construct the Morse sets of uniform random attractor as the projections of the Morse sets on pullback attractor of the skew product semiflow.
Xiaofang Lin, Caibin Zeng
openaire   +2 more sources

Random Attractor for the Nonclassical Diffusion Equation with Fading Memory

, 2015
Inthis paper,we consider the stochastic nonclassical diffusionequation with fading memory on a bounded domain. By decomposition of the solution operator, we give the necessary condition of asymptotic smoothness of the solution to the initial boundary ...
Chen Shuilin
semanticscholar   +1 more source

Random attractor of non-autonomous stochastic Boussinesq lattice system

, 2015
In this paper, we first consider the existence of tempered random attractor for second-order non-autonomous stochastic lattice dynamical system of nonlinear Boussinesq equations effected by time-dependent coupled coefficients and deterministic forces and
Min Zhao, Shengfan Zhou
semanticscholar   +1 more source

Numerical Approximation of Random Attractors

2007
In this article an algorithm for the numerical approximation of random attractors based on the subdivision algorithm of Dellnitz and Hohmann is presented. It is applied to the stochastic Duffing-van der Pol oscillator, for which we also prove a theoretical result on the existence of stable/unstable manifolds and attractors. This system serves as a main
Hannes Keller, Gunter Ochs
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Random Walk on a Strange Attractor

Physical Review Letters, 1984
On etudie les proprietes de transport des attracteurs etranges a l'aide d'une marche de sauterelle a sauts aleatoire sur des points separes d'une distance a±sa sur l ...
openaire   +2 more sources

Random Attractor, Invariant Measures, and Ergodicity of Lattice p-Laplacian Equations Driven by Superlinear Noise

Journal of Geometric Analysis, 2023
Pengyu Chen, M. Freitas, Xuping Zhang
semanticscholar   +1 more source

Several Continuities of a Pullback Random Attractor for Stochastic Non-Autonomous Zakharov Lattice Equations

Qualitative Theory of Dynamical Systems, 2023
Yangrong Li, Lin Zhang
semanticscholar   +1 more source