Exponential Attractor for a First-Order Dissipative Lattice Dynamical System
We construct an exponential attractor for a first-order dissipative lattice dynamical system arising from spatial discretization of reaction-diffusion equations in ℝ𝑘. And we obtain fractal dimension of the exponential attractor.
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2008/354652 |
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| _version_ | 1832568277322170368 |
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| author | Xiaoming Fan |
| author_facet | Xiaoming Fan |
| author_sort | Xiaoming Fan |
| collection | DOAJ |
| description | We construct an exponential attractor for a first-order dissipative lattice dynamical system arising from spatial discretization of reaction-diffusion equations in ℝ𝑘. And we obtain fractal dimension of the exponential attractor. |
| format | Article |
| id | doaj-art-2f2b662ee1c14eee84331a74929c391b |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2f2b662ee1c14eee84331a74929c391b2025-02-03T00:59:25ZengWileyJournal of Applied Mathematics1110-757X1687-00422008-01-01200810.1155/2008/354652354652Exponential Attractor for a First-Order Dissipative Lattice Dynamical SystemXiaoming Fan0Department of Mathematics, Southwest Jiaotong University, Chengdu 610031, ChinaWe construct an exponential attractor for a first-order dissipative lattice dynamical system arising from spatial discretization of reaction-diffusion equations in ℝ𝑘. And we obtain fractal dimension of the exponential attractor.http://dx.doi.org/10.1155/2008/354652 |
| spellingShingle | Xiaoming Fan Exponential Attractor for a First-Order Dissipative Lattice Dynamical System Journal of Applied Mathematics |
| title | Exponential Attractor for a First-Order Dissipative Lattice Dynamical System |
| title_full | Exponential Attractor for a First-Order Dissipative Lattice Dynamical System |
| title_fullStr | Exponential Attractor for a First-Order Dissipative Lattice Dynamical System |
| title_full_unstemmed | Exponential Attractor for a First-Order Dissipative Lattice Dynamical System |
| title_short | Exponential Attractor for a First-Order Dissipative Lattice Dynamical System |
| title_sort | exponential attractor for a first order dissipative lattice dynamical system |
| url | http://dx.doi.org/10.1155/2008/354652 |
| work_keys_str_mv | AT xiaomingfan exponentialattractorforafirstorderdissipativelatticedynamicalsystem |