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

Ahmed Y. Abdallah | Zendy

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

Author(s) -

Ahmed Y. Abdallah

Publication year - 2005

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/jam.2005.273

Subject(s) - dissipative system , reaction–diffusion system , discretization , attractor , hilbert space , lattice (music) , algorithm , computer science , mathematics , mathematical analysis , physics , thermodynamics , acoustics

We investigate the existence of a global attractor and itsupper semicontinuity for the infinite-dimensional latticedynamical system of a partly dissipative reaction diffusionsystem in the Hilbert space l2×l2. Such a systemis similar to the discretized FitzHugh-Nagumo system inneurobiology, which is an adequate justification for its study

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