Dynamics and synchronization of boundary coupled FitzHugh-Nagumo neural networks

Leslaw Skrzypek and Yuncheng You

Applied Mathematics and Computation, 2021, vol. 388, issue C

Abstract: In this work a new mathematical model for complex neural networks is presented by the partly diffusive FitzHugh-Nagumo equations with ensemble boundary coupling. The dissipative dynamics and boundary coupling dynamics of solutions are proved with sharp uniform estimates. The synchronization of this kind complex neural networks is proved under the condition that boundary synaptic stimulation signal strength exceeds the threshold quantitatively expressed.

Keywords: FitzHugh-Nagumo neural network; Boundary coupling; Synchronization; Dissipative dynamics (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:388:y:2021:i:c:s0096300320305014

DOI: 10.1016/j.amc.2020.125545

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