Chaos synchronization of coupled map-based neurons under external electrical stimulation via robust adaptive control

Abstract

In this paper, a robust adaptive controller is proposed to realize the synchronization of two gap junction coupled chaotic map-based neurons under external electrical stimulation. Considering the uncertain states in practical neural systems, we propose a robust control scheme comprising an adaptive controller and an uncertainty estimator. Chaos synchronization is obtained by proper choice of the control parameters. Gaussian Random Noise is introduced to evaluate the stability of the adaptive control induced synchronized state. The simulation results demonstrate the effectiveness and robustness of the developed control method.