2020/06/18 by Lesław Skrzypek, Leslaw Skrzypek, Skrzypek, Leslaw +2
Computer Science · Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation #math.DS #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.2006.12407
arxiv created 2020/06/18 · openalex publication_date 2020/06/18 · arxiv updated 2020/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.