Dynamics and Synchronization of Complex Neural Networks with Boundary Coupling
arXiv:2004.09988
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.
arXiv admin note: text overlap with arXiv:1912.02961