Global attractor of complex networks of reaction-diffusion systems of Fitzhugh-Nagumo type | Zendy

Benjamin Ambrosio | Zendy; M. A. Aziz-Alaoui | Zendy; Van Long Em Phan | Zendy

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Global attractor of complex networks of reaction-diffusion systems of Fitzhugh-Nagumo type

Author(s) -

Benjamin Ambrosio,

M. A. Aziz-Alaoui,

Van Long Em Phan

Publication year - 2018

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2018077

Subject(s) - attractor , reaction–diffusion system , diffusion , type (biology) , focus (optics) , class (philosophy) , mathematics , statistical physics , pure mathematics , computer science , mathematical analysis , physics , thermodynamics , artificial intelligence , geology , paleontology , optics

We focus on the long time behavior of complex networks of reaction-diffusion systems. We prove the existence of the global attractor and the $L^{∞}$-bound for networks of $n$ reaction-diffusion systems that belong to a class that generalizes the FitzHugh-Nagumo reaction-diffusion equations.

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