A simple butterfly-shaped chaotic system

Lingyun Li, Degui Kong, Zhijun Chai () and Yunxia Wang ()
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Lingyun Li: Heilongjiang University
Degui Kong: Heilongjiang University
Zhijun Chai: Heilongjiang University
Yunxia Wang: Heilongjiang University

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 7, 1-16

Abstract: 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

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00376-z

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