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Synchronization for a Class of Fractional-Order Hyperchaotic System and Its Application

Author

Listed:
  • Wen Tan
  • Feng Ling Jiang
  • Chuang Xia Huang
  • Lan Zhou

Abstract

A new controller design method is proposed to synchronize the fractional-order hyperchaotic system through the stability theory of fractional calculus; the synchronization between two identical fractional-order Chen hyperchaotic systems is realized by designing only two suitable controllers in the response system. Furthermore, this control scheme can be used in secure communication via the technology of chaotic masking using the complex nonperiodic information as trial message, and the useful information can be recovered at the receiver. Numerical simulations coincide with the theoretical analysis.

Suggested Citation

  • Wen Tan & Feng Ling Jiang & Chuang Xia Huang & Lan Zhou, 2012. "Synchronization for a Class of Fractional-Order Hyperchaotic System and Its Application," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-11, June.
    • Handle: RePEc:hin:jnljam:974639
    DOI: 10.1155/2012/974639
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    Cited by:

    1. Adán J. Serna-Reyes & Jorge E. Macías-Díaz, 2021. "A Mass- and Energy-Conserving Numerical Model for a Fractional Gross–Pitaevskii System in Multiple Dimensions," Mathematics, MDPI, vol. 9(15), pages 1-31, July.
    2. Zhao, Rui & Wang, Baoxian & Jian, Jigui, 2022. "Global μ-stabilization of quaternion-valued inertial BAM neural networks with time-varying delays via time-delayed impulsive control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 223-245.
    3. Pengyu Li & Juan Du & Shouliang Li & Yazhao Zheng & Bowen Jia, 2019. "The Synchronization of N Cascade-Coupled Chaotic Systems," Complexity, Hindawi, vol. 2019, pages 1-10, December.

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