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Zbl 1133.92008
Wang, Jiang; Zhang, Ting; Deng, Bin
Synchronization of FitzHugh-Nagumo neurons in external electrical stimulation via nonlinear control. (English)
[J] Chaos Solitons Fractals 31, No. 1, 30-38 (2007). ISSN 0960-0779

Summary: Synchronization of the FitzHugh-Nagumo neural system under external electrical stimulation via nonlinear control is investigated. First, the different dynamical behaviors of the nonlinear cable model based on the FitzHugh-Nagumo model responding to various external electrical stimulations are studied. Next, using the result of the analysis, a nonlinear feedback linearization control scheme and an adaptive control strategy are designed to synchronization of two neurons. Computer simulations are provided to verify the efficiency of the designed synchronization schemes.

MSC 2000:: *92C20 Neural biology
93D15 Stabilization of systems by feedback
93D21 Adaptive and robust stabilization
92C05 Biophysics

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