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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Main Author:	Ahmed Y. Abdallah
Format:	Article
Language:	English
Published:	Hindawi Limited 2005-01-01
Series:	Journal of Applied Mathematics
Online Access:	http://dx.doi.org/10.1155/JAM.2005.273

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spelling	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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Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems

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