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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Online Access: | http://dx.doi.org/10.1155/JAM.2005.273 |
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doaj-0e8d4983219c4d1081c5ee837c15357c2020-11-24T22:16:39ZengHindawi LimitedJournal 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 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ahmed Y. Abdallah |
spellingShingle |
Ahmed Y. Abdallah Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems Journal of Applied Mathematics |
author_facet |
Ahmed Y. Abdallah |
author_sort |
Ahmed Y. Abdallah |
title |
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_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_sort |
upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems |
publisher |
Hindawi Limited |
series |
Journal of Applied Mathematics |
issn |
1110-757X 1687-0042 |
publishDate |
2005-01-01 |
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. |
url |
http://dx.doi.org/10.1155/JAM.2005.273 |
work_keys_str_mv |
AT ahmedyabdallah uppersemicontinuityoftheattractorforlatticedynamicalsystemsofpartlydissipativereactiondiffusionsystems |
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1725788583806107648 |