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Chaotic synchronization of nearest-neighbor diffusive coupling Hindmarsh–Rose neural networks in noisy environments

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  • Fang, Xiao-Ling
  • Yu, Hong-Jie
  • Jiang, Zong-Lai

Abstract

The chaotic synchronization of Hindmarsh–Rose neural networks linked by a nonlinear coupling function is discussed. The HR neural networks with nearest-neighbor diffusive coupling form are treated as numerical examples. By the construction of a special nonlinear-coupled term, the chaotic system is coupled symmetrically. For three and four neurons network, a certain region of coupling strength corresponding to full synchronization is given, and the effect of network structure and noise position are analyzed. For five and more neurons network, the full synchronization is very difficult to realize. All the results have been proved by the calculation of the maximum conditional Lyapunov exponent.

Suggested Citation

  • Fang, Xiao-Ling & Yu, Hong-Jie & Jiang, Zong-Lai, 2009. "Chaotic synchronization of nearest-neighbor diffusive coupling Hindmarsh–Rose neural networks in noisy environments," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2426-2441.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:5:p:2426-2441
    DOI: 10.1016/j.chaos.2007.07.010
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    References listed on IDEAS

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    1. 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.
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    Cited by:

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    2. Jia, Chenhui & Wang, Jiang & Deng, Bin, 2009. "How the self-coupled neuron can affect the chaotic synchronization of network," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1112-1119.

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