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A simple butterfly-shaped chaotic system

Author

Listed:
  • Lingyun Li

    (Heilongjiang University)

  • Degui Kong

    (Heilongjiang University)

  • Zhijun Chai

    (Heilongjiang University)

  • Yunxia Wang

    (Heilongjiang University)

Abstract

In this paper, we proposed a multi-wing chaotic system based on the Sprott-B system with the nonlinear feedback method. The novel system can simultaneously generate attractors with one-wing, butterfly-shaped double-wing, and butterfly-shaped four-wing. Comparatively, the novel system is simple, which includes two quadratically nonlinear terms. In the novel system, the period-doubling bifurcation process was observed with the bifurcation diagram, and the period and chaos were confirmed with power spectra. Especially, the novel system was asymmetric about any axis and can generate asymmetric coexisting attractors. The chaotic sequences generated by the novel system had good pseudo-randomness which was confirmed by the NIST test. In addition, the feasibility of the novel system was confirmed by the hardware circuit. The novel system would be able to be widely applied in the field of secure communication. Graphical abstract

Suggested Citation

  • Lingyun Li & Degui Kong & Zhijun Chai & Yunxia Wang, 2022. "A simple butterfly-shaped chaotic system," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(7), pages 1-16, July.
  • Handle: RePEc:spr:eurphb:v:95:y:2022:i:7:d:10.1140_epjb_s10051-022-00376-z
    DOI: 10.1140/epjb/s10051-022-00376-z
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    Cited by:

    1. Liang, Bo & Hu, Chenyang & Tian, Zean & Wang, Qiao & Jian, Canling, 2023. "A 3D chaotic system with multi-transient behavior and its application in image encryption," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 616(C).

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