Synchronization and control of a network of coupled reaction diffusion systems of generalized FitzHugh-Nagumo typeReport as inadecuate




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1 Systemes Dynamiques LMAH - Laboratoire de Mathématiques Appliquées du Havre 2 LMAH - Laboratoire de Mathématiques Appliquées du Havre

Abstract : 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.

Keywords : Neuroscience Dynamical systems Reaction diffusion Synchronization Networks FitzHugh-Nagumo





Author: Benjamin Ambrosio - M. A. Aziz-Alaoui -

Source: https://hal.archives-ouvertes.fr/



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