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Hyperchaos In The Fractional-Order Nonautonomous Chen'S System And Its Synchronization

Author

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  • HONGBIN ZHANG

    (Center for Nonlinear and Complex Systems, School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, P. R. China)

  • CHUNGUANG LI

    (Center for Nonlinear and Complex Systems, School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, P. R. China)

  • GUANRONG CHEN

    (Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, P. R. China)

  • XING GAO

    (School of Electronic and Information, Southwest Nationalities University, Chengdu, Sichuan, 610041, P. R. China)

Abstract

Recently, a new hyperchaos generator, obtained by controlling a three-dimensional autonomous chaotic system — Chen's system — with a periodic driving signal, has been found. In this letter, we formulate and study the hyperchaotic behaviors in the corresponding fractional-order hyperchaotic Chen's system. Through numerical simulations, we found that hyperchaos exists in the fractional-order hyperchaotic Chen's system with order less than 4. The lowest order we found to have hyperchaos in this system is 3.4. Finally, we study the synchronization problem of two fractional-order hyperchaotic Chen's systems.

Suggested Citation

  • Hongbin Zhang & Chunguang Li & Guanrong Chen & Xing Gao, 2005. "Hyperchaos In The Fractional-Order Nonautonomous Chen'S System And Its Synchronization," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(05), pages 815-826.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:05:n:s0129183105007510
    DOI: 10.1142/S0129183105007510
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    Cited by:

    1. Zhou, Jiaying & Zhao, Yi & Wu, ZhaoYan, 2019. "Cluster synchronization of fractional-order directed networks via intermittent pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 22-33.

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