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

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Abstract

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

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