Results 111 to 120 of about 2,525 (234)

Random Attractors for Stochastic Retarded Reaction-Diffusion Equations on Unbounded Domains

open access: yesAbstract and Applied Analysis, 2013
This paper is devoted to a stochastic retarded reaction-diffusion equation on all d-dimensional space with additive white noise. We first show that the stochastic retarded reaction-diffusion equation generates a random dynamical system by transforming ...
Xiaoquan Ding, Jifa Jiang
doaj   +1 more source

Synchronization of nonautonomous dynamical systems

open access: yesElectronic Journal of Differential Equations, 2003
The synchronization of two nonautonomous dynamical systems is considered, where the systems are described in terms of a skew-product formalism, i.
Peter E. Kloeden
doaj  

Pullback Attractors for Nonautonomous 2D-Navier-Stokes Models with Variable Delays

open access: yesAbstract and Applied Analysis, 2013
Using a method based on the concept of the Kuratowski measure of the noncompactness of a bounded set as well as some new estimates of the equicontinuity of the solutions, we prove the existence of a unique pullback attractor in higher regularity space ...
Xiaoli Liu, Yejuan Wang
doaj   +1 more source

PULLBACK ATTRACTORS AND INVARIANT MEASURES FOR THE DISCRETE ZAKHAROV EQUATIONS

open access: yesJournal of Applied Analysis & Computation, 2019
Summary: This article studies the probability distributions of solutions in the phase space for the discrete Zakharov equations. The authors first prove that the generated process of the solutions operators possesses a pullback-\({\mathcal D}\) attractor, and then they establish that there exists a unique family of invariant Borel probability measures ...
Zhu, Zeqi, Sang, Yanmiao, Zhao, Caidi
openaire   +1 more source

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