Long Term Behavior for a Class of Stochastic Delay Lattice Systems in Xρ Space
In this paper, we focus on the asymptotic behavior of solutions to stochastic delay lattice equations with additive noise and deterministic forcing. We first show the existence of a continuous random dynamical system for the equations. Then we investigate the pullback asymptotical compactness of sol...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/5405947 |
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| _version_ | 1849304977139302400 |
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| author | Yijin Zhang Zongbing Lin |
| author_facet | Yijin Zhang Zongbing Lin |
| author_sort | Yijin Zhang |
| collection | DOAJ |
| description | In this paper, we focus on the asymptotic behavior of solutions to stochastic delay lattice equations with additive noise and deterministic forcing. We first show the existence of a continuous random dynamical system for the equations. Then we investigate the pullback asymptotical compactness of solutions as well as the existence and uniqueness of tempered random attractor in Xρ space. Finally, ergodicity of the systems is achieved. |
| format | Article |
| id | doaj-art-41399685e1b4479d9aa49bfba76cc700 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-41399685e1b4479d9aa49bfba76cc7002025-08-20T03:55:35ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/54059475405947Long Term Behavior for a Class of Stochastic Delay Lattice Systems in Xρ SpaceYijin Zhang0Zongbing Lin1School of Mathematics, Sichuan University, Chengdu, Sichuan 610065, ChinaSchool of Mathematics and Computer Science, Panzhihua University, Panzhihua 617000, ChinaIn this paper, we focus on the asymptotic behavior of solutions to stochastic delay lattice equations with additive noise and deterministic forcing. We first show the existence of a continuous random dynamical system for the equations. Then we investigate the pullback asymptotical compactness of solutions as well as the existence and uniqueness of tempered random attractor in Xρ space. Finally, ergodicity of the systems is achieved.http://dx.doi.org/10.1155/2020/5405947 |
| spellingShingle | Yijin Zhang Zongbing Lin Long Term Behavior for a Class of Stochastic Delay Lattice Systems in Xρ Space Discrete Dynamics in Nature and Society |
| title | Long Term Behavior for a Class of Stochastic Delay Lattice Systems in Xρ Space |
| title_full | Long Term Behavior for a Class of Stochastic Delay Lattice Systems in Xρ Space |
| title_fullStr | Long Term Behavior for a Class of Stochastic Delay Lattice Systems in Xρ Space |
| title_full_unstemmed | Long Term Behavior for a Class of Stochastic Delay Lattice Systems in Xρ Space |
| title_short | Long Term Behavior for a Class of Stochastic Delay Lattice Systems in Xρ Space |
| title_sort | long term behavior for a class of stochastic delay lattice systems in xρ space |
| url | http://dx.doi.org/10.1155/2020/5405947 |
| work_keys_str_mv | AT yijinzhang longtermbehaviorforaclassofstochasticdelaylatticesystemsinxrspace AT zongbinglin longtermbehaviorforaclassofstochasticdelaylatticesystemsinxrspace |