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Adaptive Multi-Switching Synchronization of High-Order Memristor-Based Hyperchaotic System with Unknown Parameters and Its Application in Secure Communication

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  • Zhili Xiong
  • Shaocheng Qu
  • Jing Luo

Abstract

This article investigates an adaptive multi-switching synchronization for two identical high-order memristor-based hyperchaotic systems with uncertain parameters. Firstly, the dynamic characteristics of two high-order memristor hyperchaotic systems with uncertain parameters are analyzed. Then, an adaptive multi-switching controller is designed to realize the multi-switching synchronization of the two high-order hyperchaotic systems, and the unknown parameters of the systems are identified to their true values. Furthermore, numerical simulation results testify the effectiveness of the proposed strategy. Finally, the proposed algorithm applied in secure communication of masking encryption and image encryption is validated by statistical analysis.

Suggested Citation

  • Zhili Xiong & Shaocheng Qu & Jing Luo, 2019. "Adaptive Multi-Switching Synchronization of High-Order Memristor-Based Hyperchaotic System with Unknown Parameters and Its Application in Secure Communication," Complexity, Hindawi, vol. 2019, pages 1-18, December.
    • Handle: RePEc:hin:complx:3827201
    DOI: 10.1155/2019/3827201
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    References listed on IDEAS

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    1. Dmitri B. Strukov & Gregory S. Snider & Duncan R. Stewart & R. Stanley Williams, 2008. "The missing memristor found," Nature, Nature, vol. 453(7191), pages 80-83, May.
    2. Uçar, Ahmet & Lonngren, Karl E. & Bai, Er-Wei, 2008. "Multi-switching synchronization of chaotic systems with active controllers," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 254-262.
    3. Wang, Leimin & Dong, Tiandu & Ge, Ming-Feng, 2019. "Finite-time synchronization of memristor chaotic systems and its application in image encryption," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 293-305.
    4. Rui Wang & Mingjin Li & Zhaoling Gao & Hui Sun, 2018. "A New Memristor-Based 5D Chaotic System and Circuit Implementation," Complexity, Hindawi, vol. 2018, pages 1-12, December.
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    Cited by:

    1. Tutueva, Aleksandra V. & Moysis, Lazaros & Rybin, Vyacheslav G. & Kopets, Ekaterina E. & Volos, Christos & Butusov, Denis N., 2022. "Fast synchronization of symmetric Hénon maps using adaptive symmetry control," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    2. Hanshuo Qiu & Xiangzi Zhang & Huaixiao Yue & Jizhao Liu, 2023. "A Novel Eighth-Order Hyperchaotic System and Its Application in Image Encryption," Mathematics, MDPI, vol. 11(19), pages 1-29, September.

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