Pullback Exponential Attractor for Second Order Nonautonomous Lattice System
We first present some sufficient conditions for the existence of a pullback exponential attractor for continuous process on the product space of the weighted spaces of infinite sequences. Then we prove the existence and continuity of a pullback exponential attractor for second order lattice system w...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/237027 |
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| _version_ | 1832551708107997184 |
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| author | Shengfan Zhou Hong Chen Zhaojuan Wang |
| author_facet | Shengfan Zhou Hong Chen Zhaojuan Wang |
| author_sort | Shengfan Zhou |
| collection | DOAJ |
| description | We first present some sufficient conditions for the existence of a pullback exponential attractor for continuous process on the product space of the weighted spaces of infinite sequences. Then we prove the existence and continuity of a pullback exponential attractor for second order lattice system with time-dependent coupled coefficients in the weighted space of infinite sequences. Moreover, we obtain the upper bound of fractal dimension and attracting rate for the attractor. |
| format | Article |
| id | doaj-art-e8e481acfad94fbcadcf3d95fcde00fd |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e8e481acfad94fbcadcf3d95fcde00fd2025-02-03T06:00:46ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/237027237027Pullback Exponential Attractor for Second Order Nonautonomous Lattice SystemShengfan Zhou0Hong Chen1Zhaojuan Wang2Department of Mathematics, Zhejiang Normal University, Jinhua 321004, ChinaDepartment of Mathematics, Zhejiang Normal University, Jinhua 321004, ChinaSchool of Mathematical Science, Huaiyin Normal University, Huaiyin 223300, ChinaWe first present some sufficient conditions for the existence of a pullback exponential attractor for continuous process on the product space of the weighted spaces of infinite sequences. Then we prove the existence and continuity of a pullback exponential attractor for second order lattice system with time-dependent coupled coefficients in the weighted space of infinite sequences. Moreover, we obtain the upper bound of fractal dimension and attracting rate for the attractor.http://dx.doi.org/10.1155/2014/237027 |
| spellingShingle | Shengfan Zhou Hong Chen Zhaojuan Wang Pullback Exponential Attractor for Second Order Nonautonomous Lattice System Discrete Dynamics in Nature and Society |
| title | Pullback Exponential Attractor for Second Order Nonautonomous Lattice System |
| title_full | Pullback Exponential Attractor for Second Order Nonautonomous Lattice System |
| title_fullStr | Pullback Exponential Attractor for Second Order Nonautonomous Lattice System |
| title_full_unstemmed | Pullback Exponential Attractor for Second Order Nonautonomous Lattice System |
| title_short | Pullback Exponential Attractor for Second Order Nonautonomous Lattice System |
| title_sort | pullback exponential attractor for second order nonautonomous lattice system |
| url | http://dx.doi.org/10.1155/2014/237027 |
| work_keys_str_mv | AT shengfanzhou pullbackexponentialattractorforsecondordernonautonomouslatticesystem AT hongchen pullbackexponentialattractorforsecondordernonautonomouslatticesystem AT zhaojuanwang pullbackexponentialattractorforsecondordernonautonomouslatticesystem |