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Coupling Parameter In Synchronization Of Small-World Neural Networks

Author

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  • SHENG-JUN WANG

    (Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China)

  • XIN-JIAN XU

    (Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China)

  • ZHI-XI WU

    (Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China)

  • YING-HAI WANG

    (Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China)

Abstract

We investigate the critical features of coupling parameters in the synchronization of the ensemble of identical neural networks with small-world connectivity. An exponential decay form is observed in the extreme case of global coupling among subsystems and full connection in each networks: there exists a maximum and a minimum of the critical coupling intensity for synchronization in this spatially extended system. For partial coupling, we present the primary result about the critical coupling fraction for various linked degree of subnetworks.

Suggested Citation

  • Sheng-Jun Wang & Xin-Jian Xu & Zhi-Xi Wu & Ying-Hai Wang, 2005. "Coupling Parameter In Synchronization Of Small-World Neural Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(12), pages 1841-1848.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:12:n:s0129183105008369
    DOI: 10.1142/S0129183105008369
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