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

[摘要] 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 spacel2×l2. Such a systemis similar to the discretized FitzHugh-Nagumo system inneurobiology, which is an adequate justification for its study.

[学科分类] 应用数学