Random attractors for second-order stochastic lattice dynamical systems |
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| Authors: | Xiaohu Wang |
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| Affiliation: | a Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, PR China
b College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068, PR China |
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| Abstract: | 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. |
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| Keywords: | 60H15 34C35 58F11 58F36 |
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