RANDOM ATTRACTORS FOR STOCHASTIC EQUATIONS DRIVEN BY A FRACTIONAL BROWNIAN MOTION-Reference-Cited by-同舟云学术

RANDOM ATTRACTORS FOR STOCHASTIC EQUATIONS DRIVEN BY A FRACTIONAL BROWNIAN MOTION

Published:2010-09 Issue:09 Volume:20 Page:2761-2782
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

GARRIDO-ATIENZA M. J.¹,MASLOWSKI B.²,SCHMALFUß B.³

Affiliation:

1. Dpto. de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080 Sevilla, Spain

2. Faculty of Mathematics and Physics, Charles University, Sokolovska 83, Prague 8, Czech Republic

3. Institut für Mathematik, Fakultät EIM, Universität Paderborn, Warburger Strasse 100, 33098, Paderborn, Germany

Abstract

In this paper, the asymptotic behavior of stochastic differential equations driven by a fractional Brownian motion with Hurst parameter H > 1/2 is studied. In particular, it is shown that the corresponding solutions generate a random dynamical system for which the existence and uniqueness of a random attractor is proved.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127410027349

Reference18 articles.

1. Random Dynamical Systems

2. Studies in Mathematics and its Applications;Babin A. V.,1992

3. Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions

4. Convex Analysis and Measurable Multifunctions

5. Random attractors

Cited by 45 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Random attractors for rough stochastic partial differential equations;Journal of Differential Equations;2023-10

2. Dynamics of The Stochastic g-Navier-Stokes Equations Driven by Nonlinear Noise;Acta Mathematica Scientia;2023-07-12

3. Exponential stability of stochastic systems: A pathwise approach;Stochastics and Dynamics;2022-04-18

4. Stochastic dynamics of non-autonomous fractional Ginzburg-Landau equations on $ \mathbb{R}^3 $;Discrete and Continuous Dynamical Systems - B;2022

5. Asymptotic Dynamics of Young Differential Equations;Journal of Dynamics and Differential Equations;2021-11-01