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

中文翻译：

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一个简单的蝴蝶形混沌系统

在本文中，我们提出了一种基于Sprott-B系统的多翼混沌系统，采用非线性反馈方法。新系统可以同时生成单翼、蝶形双翼和蝶形四翼的吸引子。相比之下，新系统很简单，它包括两个二次非线性项。在新系统中，用分岔图观察了倍周期分岔过程，用功率谱确认了周期和混沌。特别是，新系统关于任何轴都是不对称的，并且可以产生不对称的共存吸引子。新系统生成的混沌序列具有良好的伪随机性，经 NIST 测试证实。此外，硬件电路验证了新系统的可行性。

图形概要