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A new 4D hyperchaotic system with high complexity

Author

Listed:
  • Chen, Lijuan
  • Tang, Song
  • Li, Qingdu
  • Zhong, Shouming

Abstract

In chaos engineering, especially for chaos-based communication, chaotic systems require high complex, strong robustness and well-distributed bandwidth. In this paper, we present a new four-dimensional (4D) hyperchaotic system, which satisfies these three significant properties at the same time. Instead of traditional evaluation method of the positive Lyapunov exponents, the complexity of the system is measured by the topological entropy. We find out that it has much larger topological entropy and Kaplan–Yorke dimension compared with the systems reported before, therefore it may have better engineering application value.

Suggested Citation

  • Chen, Lijuan & Tang, Song & Li, Qingdu & Zhong, Shouming, 2018. "A new 4D hyperchaotic system with high complexity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 146(C), pages 44-56.
    • Handle: RePEc:eee:matcom:v:146:y:2018:i:c:p:44-56
    DOI: 10.1016/j.matcom.2017.10.002
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    Cited by:

    1. Yan, Shaohui & Gu, Binxian & Wang, Ertong & Ren, Yu, 2023. "Finite-time synchronization of multi-scroll hyperchaotic system and its application in image encryption," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 206(C), pages 391-409.
    2. Amer Awad Alzaidi & Musheer Ahmad & Hussam S. Ahmed & Eesa Al Solami, 2018. "Sine-Cosine Optimization-Based Bijective Substitution-Boxes Construction Using Enhanced Dynamics of Chaotic Map," Complexity, Hindawi, vol. 2018, pages 1-16, December.
    3. Lijuan Chen & Mingchu Yu & Jinnan Luo & Jinpeng Mi & Kaibo Shi & Song Tang, 2024. "Dynamic Analysis and FPGA Implementation of a New Linear Memristor-Based Hyperchaotic System with Strong Complexity," Mathematics, MDPI, vol. 12(12), pages 1-17, June.

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