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Generalized projective synchronization of different chaotic systems based on antisymmetric structure

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  • Cai, Na
  • Jing, Yuanwei
  • Zhang, Siying

Abstract

The problem of generalized projective synchronization of different chaotic systems is investigated. By using the direct design method, a controller is designed to transform the error system into a nonlinear system with the special antisymmetric structure. The sufficient stability conditions are presented for such systems. Then the state of error system is asymptotically stable at the origin. That is to say, the generalized projective synchronization between response system and drive system is realized. Finally, the corresponding numerical simulation results demonstrate the effectiveness of the proposed schemes.

Suggested Citation

  • Cai, Na & Jing, Yuanwei & Zhang, Siying, 2009. "Generalized projective synchronization of different chaotic systems based on antisymmetric structure," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1190-1196.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:1190-1196
    DOI: 10.1016/j.chaos.2009.03.015
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    References listed on IDEAS

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    1. Zhang, Gang & Liu, Zengrong & Ma, Zhongjun, 2007. "Generalized synchronization of different dimensional chaotic dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 773-779.
    2. Li, Guo-Hui & Zhou, Shi-Ping, 2007. "Anti-synchronization in different chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 516-520.
    3. Yan, Jianping & Li, Changpin, 2005. "Generalized projective synchronization of a unified chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1119-1124.
    4. Yan, Jun-Juh & Yang, Yi-Sung & Chiang, Tsung-Ying & Chen, Ching-Yuan, 2007. "Robust synchronization of unified chaotic systems via sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 947-954.
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    1. Wu, Xiang-Jun & Lu, Hong-Tao, 2011. "Adaptive generalized function projective lag synchronization of different chaotic systems with fully uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 44(10), pages 802-810.
    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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