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

Ahmed Y. Abdallah

Journal of Applied Mathematics, 2005, vol. 2005, 1-16

Abstract:

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 l 2 × l 2 . Such a system is similar to the discretized FitzHugh-Nagumo system in neurobiology, which is an adequate justification for its study.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:759301

DOI: 10.1155/JAM.2005.273

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