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Combination Synchronization of Three Different Fractional-Order Delayed Chaotic Systems

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  • Bo Li
  • Xiaobing Zhou
  • Yun Wang

Abstract

Time delay is a frequently encountered phenomenon in some practical engineering systems and introducing time delay into a system can enrich its dynamic characteristics. There has been a plenty of interesting results on fractional-order chaotic systems or integer-order delayed chaotic systems, but the problem of synchronization of fractional-order chaotic systems with time delays is in the primary stage. Combination synchronization of three different fractional-order delayed chaotic systems is investigated in this paper. It is an extension of combination synchronization of delayed chaotic systems or combination synchronization of fractional-order chaotic systems. With the help of stability theory of linear fractional-order systems with multiple time delays, we design controllers to achieve combination synchronization of three different fractional-order delayed chaotic systems. In addition, numerical simulations have been performed to demonstrate and verify the theoretical analysis.

Suggested Citation

  • Bo Li & Xiaobing Zhou & Yun Wang, 2019. "Combination Synchronization of Three Different Fractional-Order Delayed Chaotic Systems," Complexity, Hindawi, vol. 2019, pages 1-9, November.
    • Handle: RePEc:hin:complx:5184032
    DOI: 10.1155/2019/5184032
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    References listed on IDEAS

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    1. Xiong, Lianglin & Cheng, Jun & Cao, Jinde & Liu, Zixin, 2018. "Novel inequality with application to improve the stability criterion for dynamical systems with two additive time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 672-688.
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    Cited by:

    1. Mahmoud, Emad E. & Trikha, Pushali & Jahanzaib, Lone Seth & Almaghrabi, Omar A., 2020. "Dynamical analysis and chaos control of the fractional chaotic ecological model," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).

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