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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Hindawi Limited
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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doaj-2f2b662ee1c14eee84331a74929c391b2020-11-25T00:21:00ZengHindawi LimitedJournal 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Xiaoming Fan |
| spellingShingle |
Xiaoming Fan Exponential Attractor for a First-Order Dissipative Lattice Dynamical System Journal of Applied Mathematics |
| author_facet |
Xiaoming Fan |
| author_sort |
Xiaoming Fan |
| title |
Exponential Attractor for a First-Order Dissipative Lattice Dynamical System |
| title_short |
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_sort |
exponential attractor for a first-order dissipative lattice dynamical system |
| publisher |
Hindawi Limited |
| series |
Journal of Applied Mathematics |
| issn |
1110-757X 1687-0042 |
| publishDate |
2008-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2008/354652 |
| work_keys_str_mv |
AT xiaomingfan exponentialattractorforafirstorderdissipativelatticedynamicalsystem |
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