RANDOM ATTRACTOR OF STOCHASTIC ZAKHAROV LATTICE SYSTEM | Zendy

Yu Bai | Zendy; Shengfan Zhou | Zendy

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RANDOM ATTRACTOR OF STOCHASTIC ZAKHAROV LATTICE SYSTEM

Author(s) -

Yu Bai,

Shengfan Zhou

Publication year - 2011

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2011010

Subject(s) - random compact set , attractor , random dynamical system , mathematics , white noise , statistical physics , lattice (music) , random element , mathematical analysis , discrete mathematics , random field , physics , linear dynamical system , linear system , statistics , acoustics

In this paper, we consider a lattice system of stochastic Zakharov equation with white noise. We first show that the solutions of the system determine a continuous random dynamical system with random absorbing set. And then we prove the random asymptotic compact on the random absorbing set. Finally, we obtain the existence of a random attractor for the system.

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