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The chaotic properties and circuit design of a generalized high-dimensional integer-domain system

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  • Chen, Yuanlin
  • Lu, Tianxiu
  • Wang, Qianxue

Abstract

The purpose of this study is to formulate an innovative approach for creating a higher-dimensional digital chaotic system (HDDCS) within the realm of finite precision. The suggested methodology revolves around generating random sequences to regulate the emergence of chaotic behavior. Rigorous mathematical proofs of the chaotic characteristics of the HDDCS are given, and the nonlinear characteristics of HDIDS are demonstrated by examples. Furthermore, an analog–digital hybrid circuit is developed to design the generalized HDIDS. This study offers substantial theoretical support for the chaotic nature of the HDIDS, and validates the feasibility of chaotic circuit design by simulation.

Suggested Citation

  • Chen, Yuanlin & Lu, Tianxiu & Wang, Qianxue, 2024. "The chaotic properties and circuit design of a generalized high-dimensional integer-domain system," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    • Handle: RePEc:eee:chsofr:v:181:y:2024:i:c:s0960077924001619
    DOI: 10.1016/j.chaos.2024.114610
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    References listed on IDEAS

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    1. Li, Chunbiao & Sprott, Julien Clinton & Kapitaniak, Tomasz & Lu, Tianai, 2018. "Infinite lattice of hyperchaotic strange attractors," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 76-82.
    2. Prokhorov, M.D. & Ponomarenko, V.I., 2008. "Encryption and decryption of information in chaotic communication systems governed by delay-differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 871-877.
    3. Peng, Yuexi & Sun, Kehui & He, Shaobo, 2020. "A discrete memristor model and its application in Hénon map," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    4. Li, Chunbiao & Sprott, Julien Clinton & Zhang, Xin & Chai, Lin & Liu, Zuohua, 2022. "Constructing conditional symmetry in symmetric chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
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    Cited by:

    1. Zhao, Mingjie & Li, Lixiang & Yuan, Zheng, 2024. "A multi-image encryption scheme based on a new n-dimensional chaotic model and eight-base DNA," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).

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