Feedback Synchronization of FHN Cellular Neural Networks
Leslaw Skrzypek, Yuncheng You
TL;DR
This paper investigates how boundary feedback can synchronize ring-structured FitzHugh-Nagumo neural networks, providing conditions under which synchronization occurs based on boundary signal strength.
Contribution
It introduces a novel synchronization method for lattice FitzHugh-Nagumo neural networks using boundary feedback and establishes conditions for synchronization.
Findings
Synchronization occurs when boundary gap signal exceeds a certain threshold.
The paper provides uniform estimates of solutions and analyzes dissipative dynamics.
Synchronization conditions are explicitly derived based on boundary feedback strength.
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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Taxonomy
TopicsNeural Networks Stability and Synchronization · Nonlinear Dynamics and Pattern Formation · stochastic dynamics and bifurcation