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A new multi-wing chaotic attractor with unusual variation in the number of wings

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  • Sahoo, Shilalipi
  • Roy, Binoy Krishna

Abstract

A new multi-wing chaotic system with some unusual properties is reported in this paper. Here, the number of wings and the amplitude of the chaotic attractor depend on (i) simulation time, (ii) initial conditions, and (iii) system parameters. The amplitude and number of wings of the multi-wing chaotic attractor are not reaching to a fixed chaotic attractor, as in the case of other chaotic systems like Lorenz, even after a very large simulation time of 800000 s. On the other hand, the Lyapunov exponents of the system remain the same with an increasing trend of the simulation time. Moreover, the amplitude and the number of wings of the chaotic attractor keep varying with the simulation time when the initial conditions and system parameters change. Such an unusual property of a chaotic attractor is termed as dynamic-chaotic attractor. In addition to these behaviors, different complex properties of this new chaotic system are explored by plotting phase portraits, Lyapunov spectrum, bifurcation diagrams and Poincare maps. Both homogeneous and heterogeneous multi-stability are found; the co-existence of 7 multi-wing chaotic attractors is reported. Hence, this kind of system is rare in the literature.

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  • Sahoo, Shilalipi & Roy, Binoy Krishna, 2022. "A new multi-wing chaotic attractor with unusual variation in the number of wings," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    • Handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s096007792200786x
    DOI: 10.1016/j.chaos.2022.112598
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    References listed on IDEAS

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    1. Wu, Qiujie & Hong, Qinghui & Liu, Xiaoyang & Wang, Xiaoping & Zeng, Zhigang, 2020. "A novel amplitude control method for constructing nested hidden multi-butterfly and multiscroll chaotic attractors," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    2. Signing, V.R. Folifack & Kengne, J. & Kana, L.K., 2018. "Dynamic analysis and multistability of a novel four-wing chaotic system with smooth piecewise quadratic nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 263-274.
    3. Sahoo, Shilalipi & Roy, Binoy Krishna, 2022. "Design of multi-wing chaotic systems with higher largest Lyapunov exponent," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    4. Yildirim, Melih, 2022. "Optical color image encryption scheme with a novel DNA encoding algorithm based on a chaotic circuit," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    5. Cui, Li & Lu, Ming & Ou, Qingli & Duan, Hao & Luo, Wenhui, 2020. "Analysis and Circuit Implementation of Fractional Order Multi-wing Hidden Attractors," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    6. Borah, Manashita & Roy, Binoy K., 2017. "An enhanced multi-wing fractional-order chaotic system with coexisting attractors and switching hybrid synchronisation with its nonautonomous counterpart," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 372-386.
    7. Fei Yu & Li Liu & Hui Shen & Zinan Zhang & Yuanyuan Huang & Shuo Cai & Zelin Deng & Qiuzhen Wan, 2020. "Multistability Analysis, Coexisting Multiple Attractors, and FPGA Implementation of Yu–Wang Four-Wing Chaotic System," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-16, August.
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