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Fixed-Time Complex Modified Function Projective Lag Synchronization of Chaotic (Hyperchaotic) Complex Systems

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  • Xuan-Toa Tran
  • Hee-Jun Kang

Abstract

A novel fixed-time controller is proposed to perform fixed-time complex modified function projective lag synchronization of chaotic (hyperchaotic) complex systems. The synchronization is obtained after a finite time that could be preestablished without the knowledge of the initial states of both synchronized chaotic (hyperchaotic) complex systems. The global fixed-time stability of the closed-loop systems is rigorously proven based on Lyapunov analysis. Some simulation examples are provided to demonstrate the effectiveness and feasibility of the proposed method and verify the theoretical results.

Suggested Citation

  • Xuan-Toa Tran & Hee-Jun Kang, 2017. "Fixed-Time Complex Modified Function Projective Lag Synchronization of Chaotic (Hyperchaotic) Complex Systems," Complexity, Hindawi, vol. 2017, pages 1-9, July.
    • Handle: RePEc:hin:complx:4020548
    DOI: 10.1155/2017/4020548
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    References listed on IDEAS

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    1. Fangfang Zhang & Shutang Liu, 2014. "Self-time-delay synchronization of time-delay coupled complex chaotic system and its applications to communication," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(03), pages 1-13.
    2. Wu, Xiangjun & Zhu, Changjiang & Kan, Haibin, 2015. "An improved secure communication scheme based passive synchronization of hyperchaotic complex nonlinear system," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 201-214.
    3. Mahmoud, Emad E., 2013. "Modified projective phase synchronization of chaotic complex nonlinear systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 89(C), pages 69-85.
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    Cited by:

    1. Yuhua Xu & Zhongyi Ke & Chengrong Xie & Wuneng Zhou, 2018. "Dynamic Evolution Analysis of Stock Price Fluctuation and Its Control," Complexity, Hindawi, vol. 2018, pages 1-9, January.

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