| Issue |
ESAIM: Proc.
Volume 39, March 2013
Conference on Structural Nonlinear Dynamics and Diagnosis – CSNDD 2012
|
|
|---|---|---|
| Page(s) | 15 - 24 | |
| DOI | https://doi.org/10.1051/proc/201339003 | |
| Published online | 14 May 2013 | |
Synchronization and control of a network of coupled Reaction-Diffusion systems of generalized FitzHugh-Nagumo type*
1 LMAH, FR-CNRS-3335, Université de Le
Havre ISCN PRES Normandie Université, BP 540, 76058, Le Havre
Cedex, FRANCE
We consider a network of reaction diffusion systems of generalized FitzHugh-Nagumo type, where the cubic function is replaced by a polynomial function with odd degree. We deal with asymptotic behaviour and synchronization of the whole network. These results extend a previous work in which we considered particular systems of FitzHugh Nagumo type.
Résumé
Nous considérons un réseau de systèmes de réaction-diffusion de type FitzHugh-Nagumo généralisés. Nous nous intéressons au comportement asymptotique et à la synchronisation du réseau. Ces résultats nous permettent d’étendre d’autres résultats obtenus pour un type particulier de systèmes de FitzHugh-Nagumo.
© EDP Sciences, SMAI 2013
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