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Synchronization and anti-synchronization ofNdifferent coupled chaotic systems with ring connection

Author

Listed:
  • Xiangyong Chen

    (School of Sciences, Linyi University, Linyi, Shandong, 276005, P. R. China)

  • Chengyong Wang

    (School of Sciences, Linyi University, Linyi, Shandong, 276005, P. R. China)

  • Jianlong Qiu

    (School of Sciences, Linyi University, Linyi, Shandong, 276005, P. R. China)

Abstract

This paper considers the synchronization and anti-synchronization problem ofNdifferent coupled chaotic systems with ring connections. Employing the direct design method to design the synchronization and anti-synchronization controllers which can transform the error systems into a stable system with special anti-symmetric structure. Some simple stability criteria are then derived for reaching the synchronization in such systems. It is proved that these criteria not only are easily verified, but also improve and generalize previously known results. Finally, numerical examples are provided to demonstrate the effectiveness of the theoretical.

Suggested Citation

  • Xiangyong Chen & Chengyong Wang & Jianlong Qiu, 2014. "Synchronization and anti-synchronization ofNdifferent coupled chaotic systems with ring connection," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(05), pages 1-12.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:05:n:s0129183114400117
    DOI: 10.1142/S0129183114400117
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    Cited by:

    1. Chen, Xiangyong & Park, Ju H. & Cao, Jinde & Qiu, Jianlong, 2017. "Sliding mode synchronization of multiple chaotic systems with uncertainties and disturbances," Applied Mathematics and Computation, Elsevier, vol. 308(C), pages 161-173.
    2. Cuimei Jiang & Shutang Liu, 2017. "Synchronization and Antisynchronization of -Coupled Complex Permanent Magnet Synchronous Motor Systems with Ring Connection," Complexity, Hindawi, vol. 2017, pages 1-15, January.

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