Li Huiyan, Zhang Ronghua, Wang Jiang, Deng Bin, Dong Feng
Department of Automation, Tianjin University of technology and education, CO 300173, China.
Annu Int Conf IEEE Eng Med Biol Soc. 2008;2008:2485-8. doi: 10.1109/IEMBS.2008.4649704.
In this paper, active control law is derived and applied to control and synchronize N(N >or= 3) unidirectional coupled Fitzhugh-Nagumo neurons in external electrical stimulation. Firstly, the dynamical behavior of the nonlinear Fitzhugh-Nagumo model responding to various external electrical stimulations is studied. Then, using the results of the analysis, the active control strategy is designed for global synchronization of the N(N >or= 3) unidirectional coupled neurons and stabilizing the chaotic trajectory of the slave system to desired periodic orbit of the master system. Numerical simulations demonstrate the validity and feasibility of the proposed method.
本文推导了主动控制律，并将其应用于在外部电刺激下对N（N≥3）个单向耦合的Fitzhugh-Nagumo神经元进行控制和同步。首先，研究了非线性Fitzhugh-Nagumo模型对各种外部电刺激的动力学行为。然后，利用分析结果，设计了主动控制策略，以实现N（N≥3）个单向耦合神经元的全局同步，并将从系统的混沌轨迹稳定到主系统的期望周期轨道。数值模拟验证了该方法的有效性和可行性。
