𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Random attractors for second-order stochastic lattice dynamical systems

✍ Scribed by Xiaohu Wang; Shuyong Li; Daoyi Xu

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
672 KB
Volume
72
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, the asymptotic behavior of second-order stochastic lattice dynamical systems is considered. We firstly show the existence of an absorbing set. Then an estimate on tails of the solutions is derived when the time is large enough, which ensures the asymptotic compactness of the random dynamical system. Finally, the existence of the random attractor is provided.

πŸ“œ SIMILAR VOLUMES

Global Attractors for Multivalued Random
Global Attractors for Multivalued Random Dynamical Systems Generated by Random Differential Inclusions with Multiplicative Noise
✍ T. Caraballo; J.A. Langa; J. Valero πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 154 KB

In this paper we consider a stochastic differential inclusion with multiplicative noise. It is shown that it generates a multivalued random dynamical system for which there also exists a global random attractor.