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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

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