Random Attractors for Stochastic Retarded Lattice Dynamical Systems
This paper is devoted to a stochastic retarded lattice dynamical system with additive white noise. We extend the method of tail estimates to stochastic retarded lattice dynamical systems and prove the existence of a compact global random attractor within the set of tempered random bounded sets.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/409282 |
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| _version_ | 1832563371599200256 |
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| author | Xiaoquan Ding Jifa Jiang |
| author_facet | Xiaoquan Ding Jifa Jiang |
| author_sort | Xiaoquan Ding |
| collection | DOAJ |
| description | This paper is devoted to a stochastic retarded lattice dynamical system with additive white noise. We extend the method of tail estimates to stochastic retarded lattice dynamical systems and prove the existence of a compact global random attractor within the set of tempered random bounded sets. |
| format | Article |
| id | doaj-art-97889b5dacd5463d9f52645b605e0f25 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-97889b5dacd5463d9f52645b605e0f252025-02-03T01:20:24ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/409282409282Random Attractors for Stochastic Retarded Lattice Dynamical SystemsXiaoquan Ding0Jifa Jiang1School of Mathematics and Statistics, Henan University of Science and Technology, Henan, Luoyang 471023, ChinaSchool of Mathematics and Science, Shanghai Normal University, Shanghai 200234, ChinaThis paper is devoted to a stochastic retarded lattice dynamical system with additive white noise. We extend the method of tail estimates to stochastic retarded lattice dynamical systems and prove the existence of a compact global random attractor within the set of tempered random bounded sets.http://dx.doi.org/10.1155/2012/409282 |
| spellingShingle | Xiaoquan Ding Jifa Jiang Random Attractors for Stochastic Retarded Lattice Dynamical Systems Abstract and Applied Analysis |
| title | Random Attractors for Stochastic Retarded Lattice Dynamical Systems |
| title_full | Random Attractors for Stochastic Retarded Lattice Dynamical Systems |
| title_fullStr | Random Attractors for Stochastic Retarded Lattice Dynamical Systems |
| title_full_unstemmed | Random Attractors for Stochastic Retarded Lattice Dynamical Systems |
| title_short | Random Attractors for Stochastic Retarded Lattice Dynamical Systems |
| title_sort | random attractors for stochastic retarded lattice dynamical systems |
| url | http://dx.doi.org/10.1155/2012/409282 |
| work_keys_str_mv | AT xiaoquanding randomattractorsforstochasticretardedlatticedynamicalsystems AT jifajiang randomattractorsforstochasticretardedlatticedynamicalsystems |