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A new method of constructing cyclic symmetric conservative chaotic systems and improved offset boosting control

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  • Zhang, Zefeng
  • Huang, Lilian
  • Liu, Jin
  • Guo, Qiang
  • Du, Xiuli

Abstract

Based on the special structure of cyclic symmetric systems and the characteristics of conservative systems, a new method for constructing cyclic symmetric conservative chaotic systems(CSCCSs) is proposed, which can be used to construct three-dimensional(3D) system and above. Taking 3D system, four-dimensional(4D) system and five-dimensional(5D) system as examples, the construction method is introduced, and the conservation and chaotic features are verified by the determination of divergence, equilibrium points, and Lyapunov exponents(LEs), which proves the feasibility of the new method. Then, we carry out the improvement of the offset boosting control for the three constructed CSCCSs. The results show that this new control method can change the average value of the corresponding state variables, offset the variables and realize the polarity conversion of the signal. Finally, the new system is implemented by using the digital signal processor(DSP) hardware platform.

Suggested Citation

  • Zhang, Zefeng & Huang, Lilian & Liu, Jin & Guo, Qiang & Du, Xiuli, 2022. "A new method of constructing cyclic symmetric conservative chaotic systems and improved offset boosting control," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    • Handle: RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922003137
    DOI: 10.1016/j.chaos.2022.112103
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    1. Fangfang Zhang & Zhengfeng Li & Kai Sun & Xue Zhang & Peng Ji, 2021. "A New Hyperchaotic Complex System With Parametric Attractors," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(07), pages 1-20, November.
    2. Chen, Aimin & Lu, Junan & Lü, Jinhu & Yu, Simin, 2006. "Generating hyperchaotic Lü attractor via state feedback control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 103-110.
    3. Li, Chunbiao & Gu, Zhenyu & Liu, Zuohua & Jafari, Sajad & Kapitaniak, Tomasz, 2021. "Constructing chaotic repellors," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    4. Rajagopal, Karthikeyan & Cimen, Murat Erhan & Jafari, Sajad & Singh, Jay Prakash & Roy, Binoy Krishna & Akmese, Omer Faruk & Akgul, Akif, 2021. "A family of circulant megastable chaotic oscillators, its application for the detection of a feeble signal and PID controller for time-delay systems by using chaotic SCA algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    5. Enzeng Dong & Guanghan Liu & Zenghui Wang & Zengqiang Chen, 2020. "Energy Conservation, Singular Orbits, and FPGA Implementation of Two New Hamiltonian Chaotic Systems," Complexity, Hindawi, vol. 2020, pages 1-15, April.
    6. Leutcho, Gervais Dolvis & Kengne, Jacques, 2018. "A unique chaotic snap system with a smoothly adjustable symmetry and nonlinearity: Chaos, offset-boosting, antimonotonicity, and coexisting multiple attractors," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 275-293.
    7. Jia, Hongyan & Shi, Wenxin & Wang, Lei & Qi, Guoyuan, 2020. "Energy analysis of Sprott-A system and generation of a new Hamiltonian conservative chaotic system with coexisting hidden attractors," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
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    1. Zhou, Shuang & Qiu, Yuyu & Qi, Guoyuan & Zhang, Yingqian, 2023. "A new conservative chaotic system and its application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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