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November  2018, 23(9): 3787-3797. doi: 10.3934/dcdsb.2018077

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

 1 Normandie Univ, UNIHAVRE, LMAH, FR-CNRS-3335, ISCN, 76600 Le Havre, France 2 Normandie Univ, France 3 An Giang University, Long Xuyen City, Vietnam

* Corresponding author

Received  May 2016 Revised  November 2017 Published  March 2018

Fund Project: This research was funded by Region Normandie France and the ERDF (European Regional Development Fund) project XTERM.

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.

Citation: B. Ambrosio, M. A. Aziz-Alaoui, V. L. E. Phan. Global attractor of complex networks of reaction-diffusion systems of Fitzhugh-Nagumo type. Discrete & Continuous Dynamical Systems - B, 2018, 23 (9) : 3787-3797. doi: 10.3934/dcdsb.2018077
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