Articles

CONCEPTUAL ANALYSIS AND RANDOM ATTRACTOR FOR DISSIPATIVE RANDOM DYNAMICAL SYSTEMS

  • Li Yuhong ,
  • Zdzislaw Brzezniak ,
  • Zhou Jianzhong
Expand
  • College of Water Resource and Hydropower, Wuhan University, Wuhan 430071, China
    School of Hydropower and Information Engineering, Huazhong
    University of Science and Technology, Wuhan 430074, China

Received date: 2004-09-13

  Revised date: 2005-08-10

  Online published: 2008-04-20

Abstract

The aim of this work is to understand better the long time behaviour of asymptotically compact random dynamical systems (RDS), which can be generated by solutions of some stochastic partial differential equations on unbounded domains. The conceptual analysis for the long time behavior of RDS will be done through some examples. An application of those analysis
will be demonstrated through the proof of the existence of random
attractors for asymptotically compact dissipative RDS.

Cite this article

Li Yuhong , Zdzislaw Brzezniak , Zhou Jianzhong . CONCEPTUAL ANALYSIS AND RANDOM ATTRACTOR FOR DISSIPATIVE RANDOM DYNAMICAL SYSTEMS[J]. Acta mathematica scientia, Series B, 2008 , 28(2) : 253 -268 . DOI: 10.1016/S0252-9602(08)60026-0

Outlines

/