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

Abdallah, Ahmed Y.

J. Appl. Math., Tome 2005 (2005) no. 1, p. 273-288 / Harvested from Project Euclid

Résumé

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 $l^{2}\times l^{2}$ . Such a system is similar to the discretized FitzHugh-Nagumo system in neurobiology, which is an adequate justification for its study.

Publié le : 2005-06-30
Classification:

@article{1122298275,
     author = {Abdallah, Ahmed Y.},
     title = {Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems},
     journal = {J. Appl. Math.},
     volume = {2005},
     number = {1},
     year = {2005},
     pages = { 273-288},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1122298275}
}

Abdallah, Ahmed Y. Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems. J. Appl. Math., Tome 2005 (2005) no. 1, pp.  273-288. http://gdmltest.u-ga.fr/item/1122298275/