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Synchronization In The Family Of Chaotic Small-World Networks

Author

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  • LIANGMING HE

    (College of Physics and Electronic Engineering, Guangxi University for Nationalities, Nanning, 530006, P. R. China)

  • DUANWEN SHI

    (Department of Physics, Hainan Normal University, Haikou, 571158, P. R. China)

Abstract

In this paper we investigate by computer simulation the synchronizability of the family of small-world networks, which consists of identical chaotic units, such as the Lorenz chaotic system, the Chen chaotic system, Lü chaotic system, and the unified chaotic system (unit). It is shown that for weak coupling, synchronization clusters emerge in the networks whose disorder probabilitiespare large but do not emerge in the networks whose disorder probabilitiespare small; while for strong coupling under which the regular networks do not exhibit synchronization, all dynamical nodes, behaving as in the random networks, mutually synchronize in the networks which own very small disorder probabilitypand have both high degree of clustering and small average distance. Based on the concepts of clustering coefficientC(p), characteristic path lengthL(p)and global efficiencyE(G), these phenomena are discussed briefly.

Suggested Citation

  • Liangming He & Duanwen Shi, 2008. "Synchronization In The Family Of Chaotic Small-World Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(01), pages 111-123.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:01:n:s0129183108011966
    DOI: 10.1142/S0129183108011966
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    Cited by:

    1. Coninck, José C.P. & Ferrari, Fabiano A.S. & Reis, Adriane S. & Iarosz, Kelly C. & Caldas, Iberê L. & Batista, Antonio M. & Viana, Ricardo L., 2020. "Network properties of healthy and Alzheimer brains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).

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