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Synchronization of FitzHugh–Nagumo neurons in external electrical stimulation via nonlinear control

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  • Wang, Jiang
  • Zhang, Ting
  • Deng, Bin

Abstract

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

Suggested Citation

  • Wang, Jiang & Zhang, Ting & Deng, Bin, 2007. "Synchronization of FitzHugh–Nagumo neurons in external electrical stimulation via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 30-38.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:1:p:30-38
    DOI: 10.1016/j.chaos.2005.09.006
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    References listed on IDEAS

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    1. Cornejo-Pérez, Octavio & Femat, Ricardo, 2005. "Unidirectional synchronization of Hodgkin–Huxley neurons," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 43-53.
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    Cited by:

    1. Zhang, Qunjiao, 2014. "Robust synchronization of FitzHugh–Nagumo network with parameter disturbances by sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 58(C), pages 22-26.
    2. Skrzypek, Leslaw & You, Yuncheng, 2021. "Dynamics and synchronization of boundary coupled FitzHugh-Nagumo neural networks," Applied Mathematics and Computation, Elsevier, vol. 388(C).
    3. Elabbasy, E.M. & El-Dessoky, M.M., 2008. "Synchronization of van der Pol oscillator and Chen chaotic dynamical system," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1425-1435.
    4. Mbeunga, N.K. & Nana, B. & Woafo, P., 2021. "Dynamics of array mechanical arms coupled each to a Fitzhugh-Nagumo neuron," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).

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