Adaptive synchronization control of coupled chaotic neurons in an external electrical stimulation

作者：Yu Hai Tao; Wang Jiang^*; Deng Bin; Wei Xi Le; Chen Ying Yuan

来源：Chinese Physics B, 2013, 22(5): 058701.

DOI：10.1088/1674-1056/22/5/058701

• FitzHugh-Nagumo neuron
• synchronization
• adaptive control

In this paper we present a combined algorithm for the synchronization control of two gap junction coupled chaotic FitzHugh-Nagumo (FHN) neurons in an external electrical stimulation. The controller consists of a combination of dynamical sliding mode control and adaptive backstepping control. The combined algorithm yields an adaptive dynamical sliding mode control law which has the advantage over static sliding mode-based controllers of being chattering-free, i.e., a sufficiently smooth control input signal is generated. It is shown that the proposed control scheme can not only compensate for the system uncertainty, but also guarantee the stability of the synchronized error system. In addition, numerical simulations are also performed to demonstrate the effectiveness of the proposed adaptive controller.

• 出版日期2013-5
• 单位天津大学