Dynamics and synchronization of boundary coupled FitzHugh-Nagumo neural networks

Dynamics and synchronization of boundary coupled FitzHugh-Nagumo neural networks

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...

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Veröffentlicht in:Applied mathematics and computation 2021-01, Vol.388, p.125545, Article 125545
Hauptverfasser: Skrzypek, Leslaw, You, Yuncheng
Format: Artikel
Sprache:eng
Schlagworte:
Boundary coupling
Dissipative dynamics
FitzHugh-Nagumo neural network
Synchronization
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Zusammenfassung: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2020.125545