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Synchronization of N Coupled Chaotic Systems with Ring Connection Based on Special Antisymmetric Structure

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  • Xiangyong Chen
  • Jianlong Qiu
  • Qiang Song
  • Ancai Zhang

Abstract

This paper considers the complete synchronization problem for N coupled chaotic systems with ring connections. First, we use a direct design method to design a synchronization controller. It transforms the error system into a stable system with special antisymmetric structure. And then, we get some simple stability criteria of achieving the complete synchronization. These criteria are not only easily verified but also improve and generalize previous known results. Finally, numerical examples are provided to demonstrate the effectiveness of the theoretical analysis.

Suggested Citation

  • Xiangyong Chen & Jianlong Qiu & Qiang Song & Ancai Zhang, 2013. "Synchronization of N Coupled Chaotic Systems with Ring Connection Based on Special Antisymmetric Structure," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:680604
    DOI: 10.1155/2013/680604
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    References listed on IDEAS

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    1. Lu, Jun-an & Han, Xiu-ping & Li, Yi-tian & Yu, Ming-hui, 2007. "Adaptive coupled synchronization among multi-Lorenz systems family," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 866-878.
    2. 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.
    3. 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.
    4. Yu, Yongguang & Zhang, Suochun, 2005. "Global synchronization of three coupled chaotic systems with ring connection," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1233-1242.
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