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Generation of multicavity maps with different behaviours and its DSP implementation

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  • Wu, Chenyang
  • Sun, Kehui

Abstract

In this paper, based on the mathematical expression of the rotating body in the cylindrical coordinate, the empty rotating-body chaotic model (ERCM) and the full rotating-body chaotic model (FRCM) are constructed. These two models have a pair of coexisting attractors with strictly symmetric phase space orbits. The two models can be used to construct multi-cavity chaotic systems with different attractors. The cylindrical ERCM and FRCM were analyzed. The results show that the two systems have wide chaotic range, large Lyapunov exponent, and high complexity. The DSP implementation of the proposed chaotic systems indicate that it has a good application prospect in engineering.

Suggested Citation

  • Wu, Chenyang & Sun, Kehui, 2022. "Generation of multicavity maps with different behaviours and its DSP implementation," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    • Handle: RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003393
    DOI: 10.1016/j.chaos.2022.112129
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    References listed on IDEAS

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    1. Yu, Mengyao & Sun, Kehui & Liu, Wenhao & He, Shaobo, 2018. "A hyperchaotic map with grid sinusoidal cavity," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 107-117.
    2. Atangana, Abdon & Bouallegue, Ghaith & Bouallegue, Kais, 2020. "New multi-scroll attractors obtained via Julia set mapping," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    3. He, Shaobo & Banerjee, Santo, 2018. "Multicavity formations and complexity modulation in a hyperchaotic discrete system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 366-377.
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    Cited by:

    1. Zhu, Wanting & Sun, Kehui & He, Shaobo & Wang, Huihai & Liu, Wenhao, 2023. "A class of m-dimension grid multi-cavity hyperchaotic maps and its application," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    2. Ma, Tao & Mou, Jun & Banerjee, Santo & Cao, Yinghong, 2023. "Analysis of the functional behavior of fractional-order discrete neuron under electromagnetic radiation," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

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