Dynamics and Synchronization of Complex Neural Networks with Boundary Coupling
Analysis of PDEs
2020-04-22 v1
Abstract
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.
Cite
@article{arxiv.2004.09988,
title = {Dynamics and Synchronization of Complex Neural Networks with Boundary Coupling},
author = {Chi Phan and Leslaw Skrzypek and Yuncheng You},
journal= {arXiv preprint arXiv:2004.09988},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1912.02961