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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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2005-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/JAM.2005.273 |
| Summary: | 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, which is an adequate justification for its study. |
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| ISSN: | 1110-757X 1687-0042 |