Chaotic Synchronization of Coupled Hindmarsh-Rose Neurons Using Adaptive Control

Abstract

In this paper, we propose an approach for adaptive synchronization of two uncertain nonlinear chaotic neuron systems by using the coupled system of Hindmarsh-Rose [18]. An outline of this paper is given as follows: In Sec. 2, we study the dynamics of gap junction coupled neuronal system of two HR neurons without control. In Sec.3, we design the adaptive controller for chaos synchronization of the coupled HR neurons. Asymptotic synchronization can be obtained by proper choice of the control parameters. The simulation given in Sec. 4 demonstrated the effectiveness of the control. Conclusion of this paper is given in Sec. 5.