Dynamical behavior for stochastic lattice systems |
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| Institution: | 1. Academy of Mathematics and Systems Science, University of Chinese Academy of Sciences, No. 55 Zhongguancun East Road, Haidian District, Beijing, 100190, PR China;2. School of Mathematical Sciences, University of Science and Technology of China, Wu Wen Tsun Key Laboratory of Mathematics, Chinese Academy of Science, Hefei, 230026, PR China;3. Department of Mathematics, Beijing Institute of Technology, No. 5 Zhongguancun South Street, Haidian District, Beijing, 100081, PR China;1. School of Science, Zhejiang Sci-Tech University, Hangzhou 310018, PR China;2. Institute of Mathematics, School of Mathematical Science, Nanjing Normal University, Nanjing 210023, PR China;3. Institute of Mathematics, Jilin University, Changchun 130012, China;1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, PR China;2. Department of Mathematics, Wayne State University, Detroit, MI 48202, USA;3. Department of Mathematics, University of Central Florida, Orlando, FL 32828, USA |
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| Abstract: | Random attractors describe the long term behavior of the random dynamical systems. This paper is devoted to a general first order stochastic lattice dynamical systems (SLDS) with some dissipative nonlinearity. We prove the asymptotic compactness of the random dynamical system and obtain the random attractor, which is a compact random invariant set with tempered bound. |
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