Feedback synchronization of FHN cellular neural networks

Leslaw Skrzypek; Yuncheng You

doi:10.3934/dcdsb.2021001

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2021, Volume 26, Issue 12: 6047-6056. Doi: 10.3934/dcdsb.2021001 open access

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Feedback synchronization of FHN cellular neural networks

Leslaw Skrzypek and
Yuncheng You^,

Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA

^* Corresponding author: Yuncheng You
^* Corresponding author: Yuncheng You

Received: June 30, 2020

Revised: September 30, 2020

Early access: December 2020

Published: December 2021

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Abstract

In this work we study the synchronization of ring-structured cellular neural networks modeled by the lattice FitzHugh-Nagumo equations with boundary feedback. Through the uniform estimates of solutions and the analysis of dissipative dynamics, the synchronization of this type neural networks is proved under the condition that the boundary gap signal exceeds the adjustable threshold.

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Mathematics Subject Classification: 34A33, 34D06, 37L60, 37N25, 92B20.

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References

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