Dynamics and Synchronization of Complex Neural Networks with Boundary Coupling
Phan, Chi, Lesław Skrzypek, Yuncheng You · arXiv (Cornell University) · 2020
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.