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Dynamical investigation and encryption application of a new multiscroll memristive chaotic system with rich offset boosting features

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  • Xin, Zeng-Jun
  • Lai, Qiang

Abstract

The paper introduces a novel memristive chaotic system characterized by an infinite number of index-2 saddle foci, enabling it to generate multiscroll chaos and exhibit extreme multistability. Bifurcation diagrams, phase portraits and other methods are employed to examine the stabilities of equilibria and complex dynamics. It shows that by modifying the function of memristor, the system can produce multiscroll attractors with varying scroll counts. Furthermore, it can be decomposed into coexisting chaotic attractors at different locations, and this decomposition is influenced by adjustments in parameters and initial values, illustrating the impact of initial-relied and parameter-relied offset boosting. With variations in the parameter, the coexisting chaotic attractors will undergo a bifurcation, ultimately transforming into coexisting periodic attractors. The image encryption application of the system is explored, introducing an efficient chaos-based algorithm applied to encrypt Internet of Medical Things (IoMT) images, followed by a comprehensive performance evaluation.

Suggested Citation

  • Xin, Zeng-Jun & Lai, Qiang, 2024. "Dynamical investigation and encryption application of a new multiscroll memristive chaotic system with rich offset boosting features," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    • Handle: RePEc:eee:chsofr:v:181:y:2024:i:c:s0960077924002480
    DOI: 10.1016/j.chaos.2024.114696
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    References listed on IDEAS

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    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. Wu, Jiening & Wang, Lidan & Chen, Guanrong & Duan, Shukai, 2016. "A memristive chaotic system with heart-shaped attractors and its implementation," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 20-29.
    3. Yu, Fei & Kong, Xinxin & Yao, Wei & Zhang, Jin & Cai, Shuo & Lin, Hairong & Jin, Jie, 2024. "Dynamics analysis, synchronization and FPGA implementation of multiscroll Hopfield neural networks with non-polynomial memristor," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    4. Peng, Hongxin & Ji’e, Musha & Du, Xinyu & Duan, Shukai & Wang, Lidan, 2023. "Design of pseudorandom number generator based on a controllable multi-double-scroll chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    5. Qi, Guoyuan & Chen, Guanrong & Du, Shengzhi & Chen, Zengqiang & Yuan, Zhuzhi, 2005. "Analysis of a new chaotic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 352(2), pages 295-308.
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    Cited by:

    1. Zhang, Jianlin & Bao, Han & Gu, Jinxiang & Chen, Mo & Bao, Bocheng, 2024. "Multistability and synchronicity of memristor coupled adaptive synaptic neuronal network," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    2. Guang, Yerui & Ding, Qun, 2024. "Dynamics analysis of a novel parametrically controllable symmetric multi-scroll chaotic system and FPGA design of an image encryption system," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).

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