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New 4D chaotic system with hidden attractors and self-excited attractors and its application in image encryption based on RNG

Author

Listed:
  • Gong, Li-Hua
  • Luo, Hui-Xin
  • Wu, Rou-Qing
  • Zhou, Nan-Run

Abstract

A new 4D chaotic system with self-excited attractors or hidden attractors is designed and the generation of self-excited attractors and hidden attractors depends on the parameters of the new 4D chaotic system. The detailed dynamical properties of the designed new 4D chaotic system have been vividly demonstrated in terms of phase portraits, bifurcation diagrams, and Lyapunov exponents. When fixing the system parameters and changing the initial value, different kinds of coexisting asymmetric attractors are discovered in the new 4D chaotic system. Besides, the corresponding analog electronic circuit of the 4D chaotic system is designed and implemented to verify its feasibility, concurrently the random number generator and an image encryption algorithm based on the designed new 4D chaotic system are provided. Then the effectiveness of the image encryption system is verified by some basic security analysis.

Suggested Citation

  • Gong, Li-Hua & Luo, Hui-Xin & Wu, Rou-Qing & Zhou, Nan-Run, 2022. "New 4D chaotic system with hidden attractors and self-excited attractors and its application in image encryption based on RNG," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 591(C).
    • Handle: RePEc:eee:phsmap:v:591:y:2022:i:c:s0378437121009687
    DOI: 10.1016/j.physa.2021.126793
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    References listed on IDEAS

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    Cited by:

    1. Chen, Zigang & Pan, Ji & Yan, Yi & Zhu, Haihua & Yuan, Dongfeng, 2023. "Combining right-angle rotation with Gray code transformation to encrypt MQIR images," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    2. Yassine Bouteraa & Javad Mostafaee & Mourad Kchaou & Rabeh Abbassi & Houssem Jerbi & Saleh Mobayen, 2022. "A New Simple Chaotic System with One Nonlinear Term," Mathematics, MDPI, vol. 10(22), pages 1-17, November.
    3. Zhenggang Guo & Junjie Wen & Jun Mou, 2022. "Dynamic Analysis and DSP Implementation of Memristor Chaotic Systems with Multiple Forms of Hidden Attractors," Mathematics, MDPI, vol. 11(1), pages 1-13, December.
    4. Shahna, K.U., 2023. "Novel chaos based cryptosystem using four-dimensional hyper chaotic map with efficient permutation and substitution techniques," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    5. Yan, Shaohui & Wang, Ertong & Gu, Binxian & Wang, Qiyu & Ren, Yu & Wang, Jianjian, 2022. "Analysis and finite-time synchronization of a novel double-wing chaotic system with transient chaos," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 602(C).

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