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Chaotic synchronization of two coupled neurons via nonlinear control in external electrical stimulation

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  • Wang, Jiang
  • Deng, Bin
  • Fei, Xiangyang

Abstract

The chaotic synchronization to two electrical coupled neurons via nonlinear control is investigated. The coupled model is based on the nonlinear cable model and the two neurons are coupled with gap junction. If the controller were not applied, the synchronization would occur only when the couple strength of gap junction satisfied some condition. Using techniques from modern control theory, a nonlinear controller can be obtained that result in two of coupled neurons being synchronized with each other without needing to consider the couple strength of gap junction. The detailed derivation that leads to the nonlinear controller and numerical results that verify the controller’s ability to synchronize the two neurons together are included.

Suggested Citation

  • Wang, Jiang & Deng, Bin & Fei, Xiangyang, 2006. "Chaotic synchronization of two coupled neurons via nonlinear control in external electrical stimulation," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1272-1278.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:5:p:1272-1278
    DOI: 10.1016/j.chaos.2005.04.102
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    Cited by:

    1. Wang, Jiang & Che, Yan-Qiu & Zhou, Si-Si & Deng, Bin, 2009. "Unidirectional synchronization of Hodgkin–Huxley neurons exposed to ELF electric field," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1335-1345.
    2. Wang, Jiang & Deng, Bin & Fei, Xiangyang, 2008. "Synchronization of chaotic neurons coupled with gap junction with time delays in external electrical stimulation," Chaos, Solitons & Fractals, Elsevier, vol. 35(3), pages 512-518.
    3. Che, Yan-Qiu & Wang, Jiang & Zhou, Si-Si & Deng, Bin, 2009. "Robust synchronization control of coupled chaotic neurons under external electrical stimulation," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1333-1342.

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