Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems
We investigate the existence of a global attractor and its upper semicontinuity for the infinite-dimensional lattice dynamical system of a partly dissipative reaction diffusion system in the Hilbert space l2×l2. Such a system is similar to the discretized FitzHugh-Nagumo system in neurobiology, whic...
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/JAM.2005.273 |
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| _version_ | 1832560994073706496 |
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| author | Ahmed Y. Abdallah |
| author_facet | Ahmed Y. Abdallah |
| author_sort | Ahmed Y. Abdallah |
| collection | DOAJ |
| description | We investigate the existence of a global attractor and its
upper semicontinuity for the infinite-dimensional lattice
dynamical system of a partly dissipative reaction diffusion
system in the Hilbert space l2×l2. Such a system
is similar to the discretized FitzHugh-Nagumo system in
neurobiology, which is an adequate justification for its study. |
| format | Article |
| id | doaj-art-0e8d4983219c4d1081c5ee837c15357c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-0e8d4983219c4d1081c5ee837c15357c2025-02-03T01:26:07ZengWileyJournal of Applied Mathematics1110-757X1687-00422005-01-012005327328810.1155/JAM.2005.273Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systemsAhmed Y. Abdallah0Department of Mathematics, University of Jordan, Amman 11942, JordanWe investigate the existence of a global attractor and its upper semicontinuity for the infinite-dimensional lattice dynamical system of a partly dissipative reaction diffusion system in the Hilbert space l2×l2. Such a system is similar to the discretized FitzHugh-Nagumo system in neurobiology, which is an adequate justification for its study.http://dx.doi.org/10.1155/JAM.2005.273 |
| spellingShingle | Ahmed Y. Abdallah Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems Journal of Applied Mathematics |
| title | Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems |
| title_full | Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems |
| title_fullStr | Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems |
| title_full_unstemmed | Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems |
| title_short | Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems |
| title_sort | upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems |
| url | http://dx.doi.org/10.1155/JAM.2005.273 |
| work_keys_str_mv | AT ahmedyabdallah uppersemicontinuityoftheattractorforlatticedynamicalsystemsofpartlydissipativereactiondiffusionsystems |