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Global synchronization of two Ghostburster neurons via active control

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  • Sun, Li
  • Wang, Jiang
  • Deng, Bin

Abstract

In this paper, active control law is derived and applied to control and synchronize two unidirectional coupled Ghostburster neurons under external electrical stimulation. Firstly, the dynamical behavior of the nonlinear Ghostburster 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 two unidirectional coupled neurons and stabilizing the chaotic bursting trajectory of the slave system to desired tonic firing of the master system. Numerical simulations demonstrate the validity and feasibility of the proposed method.

Suggested Citation

  • Sun, Li & Wang, Jiang & Deng, Bin, 2009. "Global synchronization of two Ghostburster neurons via active control," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1213-1220.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:3:p:1213-1220
    DOI: 10.1016/j.chaos.2007.08.086
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    References listed on IDEAS

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    1. Almeida, David I. Rosas & Alvarez, Joaquín & Barajas, Juan Gonzalo, 2006. "Robust synchronization of Sprott circuits using sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 11-18.
    2. Yu, Hongjie & Peng, Jianhua, 2006. "Chaotic synchronization and control in nonlinear-coupled Hindmarsh–Rose neural systems," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 342-348.
    3. Lu, Hongtao & van Leeuwen, C., 2006. "Synchronization of chaotic neural networks via output or state coupling," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 166-176.
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