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

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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Bibliographic Details
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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