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The synchronization of fractional-order Rössler hyperchaotic systems

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  • Yu, Yongguang
  • Li, Han-Xiong

Abstract

The synchronization of fractional-order hyperchaotic systems is studied, using the Rössler system as an example. Based on the Laplace transformation theory, sufficient conditions for global synchronization of the systems are given analytically. Also, the variational iteration method is implemented to give the approximate solution for the fractional-order error system of the two identical hyperchaotic systems, which is in good agreement with the approximate solution using the classical Laplace transformation method. Numerical methods and simulations on the master–slave systems are presented to verify the results obtained.

Suggested Citation

  • Yu, Yongguang & Li, Han-Xiong, 2008. "The synchronization of fractional-order Rössler hyperchaotic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1393-1403.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:5:p:1393-1403
    DOI: 10.1016/j.physa.2007.10.052
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    References listed on IDEAS

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    Cited by:

    1. Deng, Hongmin & Li, Tao & Wang, Qionghua & Li, Hongbin, 2009. "A fractional-order hyperchaotic system and its synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 962-969.
    2. Zhang, Weiwei & Zhou, Shangbo & Li, Hua & Zhu, Hao, 2009. "Chaos in a fractional-order Rössler system," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1684-1691.
    3. Wu, Guo-Cheng & Baleanu, Dumitru & Xie, He-Ping & Chen, Fu-Lai, 2016. "Chaos synchronization of fractional chaotic maps based on the stability condition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 374-383.
    4. Wang, Sha & Yu, Yongguang & Diao, Miao, 2010. "Hybrid projective synchronization of chaotic fractional order systems with different dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4981-4988.

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