Chaotic Synchronization of Two Electrical Coupled Neurons with Unknown Parameters Based on Adaptive Control
作者： Xing-Yuan Wang , Xiao-Li Ren
DOI: 10.1088/0256-307X/28/5/050502
关键词: Adaptive control 、 Computer simulation 、 Synchronization of chaos 、 Computer science 、 Control theory 、 Lyapunov stability 、 Control theory 、 Chaotic synchronization 、 Chaotic 、 Synchronization
摘要: Chaotic synchronization of two electrical coupled FitzHugh—Nagumo (FHN) neurons with unknown parameters via adaptive control is investigated. Based on the Lyapunov stability theory, an controller and a parameter update law are designed, which can achieve gap junction FHN when individual neuron chaotic, without considering coupling strength. Moreover, identified successfully robust to random noise. The numerical simulation results confirm effectiveness designed controller.
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Da Lin, Xingyuan Wang, Fuzhong Nian, Yonglei Zhang, Dynamic fuzzy neural networks modeling and adaptive backstepping tracking control of uncertain chaotic systems Neurocomputing. ,vol. 73, pp. 2873- 2881 ,(2010) , 10.1016/J.NEUCOM.2010.08.008
Jiang Wang, Bin Deng, Xiangyang Fei, Synchronization of chaotic neurons coupled with gap junction with time delays in external electrical stimulation Chaos Solitons & Fractals. ,vol. 35, pp. 512- 518 ,(2008) , 10.1016/J.CHAOS.2006.05.056
A. L. Hodgkin, A. F. Huxley, A quantitative description of membrane current and its application to conduction and excitation in nerve The Journal of Physiology. ,vol. 117, pp. 500- 544 ,(1952) , 10.1113/JPHYSIOL.1952.SP004764
Jian-Wei Shuai, Dominique M. Durand, Phase synchronization in two coupled chaotic neurons Physics Letters A. ,vol. 264, pp. 289- 297 ,(1999) , 10.1016/S0375-9601(99)00816-6
Teresa Ree Chay, Chaos in a three-variable model of an excitable cell Physica D: Nonlinear Phenomena. ,vol. 16, pp. 233- 242 ,(1985) , 10.1016/0167-2789(85)90060-0
Mukeshwar Dhamala, Viktor K. Jirsa, Mingzhou Ding, Enhancement of neural synchrony by time delay. Physical Review Letters. ,vol. 92, pp. 074104- ,(2004) , 10.1103/PHYSREVLETT.92.074104
M.V.L. Bennett, V.K. Verselis, Biophysics of gap junctions Seminars in Cell Biology. ,vol. 3, pp. 29- 47 ,(1992) , 10.1016/S1043-4682(10)80006-6
Qun Zhao, Xingyuan Wang, Tracking control and synchronization of two coupled neurons Nonlinear Analysis-real World Applications. ,vol. 11, pp. 849- 855 ,(2010) , 10.1016/J.NONRWA.2009.01.054
Wang Jiang, Deng Bin, K.M. Tsang, Chaotic synchronization of neurons coupled with gap junction under external electrical stimulation Chaos Solitons & Fractals. ,vol. 22, pp. 469- 476 ,(2004) , 10.1016/J.CHAOS.2004.02.029
Shangbo Zhou, Xiaofeng Liao, Juebang Yu, Kwok-wo Wong, Chaos and its synchronization in two-neuron systems with discrete delays Chaos Solitons & Fractals. ,vol. 21, pp. 133- 142 ,(2004) , 10.1016/J.CHAOS.2003.10.031