Dynamics of a Delayed Four-Neuron Network with a Short-Cut. Connection: Analytical, Numerical and Experimental Studies

摘要

This paper deals with the stability and the globally bifurcated periodic response of a delayed network of four neurons with a short-cut connection. It presents a set of sufficient conditions for the existence of periodic responses arising from a Hopf bifurcation first, and then gives the global continuation of the periodic responses according to the theorem of global Hopf bifurcation. Afterwards, the paper focuses on the validation of theoretical results through some numerical simulations and a circuit experiment. Both numerical and experimental results reach an agreement with theoretical ones.