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A simple butterfly-shaped chaotic system

  • Regular Article - Statistical and Nonlinear Physics
  • Published:
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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.

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Data availability

The data used to support the findings of this study are available from the corresponding author upon request. This manuscript has associated data in a data repository. [Authors’ comment: All data included in this manuscript are available upon request by contacting with the corresponding author.]

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Authors and Affiliations

  1. Electronic Engineering College, Heilongjiang University, Harbin, 150080, People’s Republic of China

    Lingyun Li, Degui Kong, Zhijun Chai & Yunxia Wang

Authors
  1. Lingyun Li
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  2. Degui Kong
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  3. Zhijun Chai
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  4. Yunxia Wang
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Contributions

It is declared that all the authors contributed equally for this article.

Corresponding authors

Correspondence to Zhijun Chai or Yunxia Wang.

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Li, L., Kong, D., Chai, Z. et al. A simple butterfly-shaped chaotic system. Eur. Phys. J. B 95, 115 (2022). https://doi.org/10.1140/epjb/s10051-022-00376-z

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