Dynamics and synchronization of complex neural networks with boundary coupling

被引：0
|
作者：
Chi Phan
Leslaw Skrzypek
Yuncheng You
机构：
[1] Sam Houston State University,Department of Mathematics and Statistics
[2] University of South Florida,undefined
来源：
Analysis and Mathematical Physics | 2022年 / 12卷
关键词：
Complex neural network; Asymptotic synchronization; Hindmarsh-Rose equations; Boundary coupling; Absorbing dynamics; 35B40; 35B45; 35K58; 35M33; 35Q92; 92B25; 92C20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new mathematical model for complex neural networks of the partly diffusive Hindmasrh-Rose equations with boundary coupling is proposed. Through analysis of absorbing dynamics for the solution semiflow, the asymptotic synchronization of the complex neuronal networks at a uniform exponential rate is proved under the condition that stimulation signal strength of the ensemble boundary coupling exceeds a quantitative threshold expressed by the biological parameters.
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