Impulsive synchronization of time delay bursting neuron systems with unidirectional coupling

Abstract

In the article, impulsive synchronization of chaotic bursting in Hindmarsh-Rose neuron systems with time delay via partial state signal is investigated. Based on impulsive control theory of dynamical systems, the sufficient conditions on feedback strength and impulsive interval are established to guarantee the synchronization. Numerical simulations show the effectiveness of the proposed scheme. The obtained results may be helpful to understand dynamical mechanism of signal transduction in real neuronal activity.