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A new nonlinear oscillator with infinite number of coexisting hidden and self-excited attractors
Chinese Physics B Số 4, năm 2018 (Tập 27, trang -)
DOI: 10.1088/1674-1056/27/4/040502
Tài liệu thuộc danh mục: ISI, Scopus
Chin. Phys.
English
Từ khóa: Chaotic systems; Circuit oscillations; Oscillators (mechanical); Chaotic oscillators; hidden attractors; Infinite numbers; Layer by layer structure; Multi stabilities; New chaotic systems; Non-linear oscillators; Strange attractors; Field programmable gate arrays (FPGA)
Tóm tắt tiếng anh
In this paper, we introduce a new two-dimensional nonlinear oscillator with an infinite number of coexisting limit cycles. These limit cycles form a layer-by-layer structure which is very unusual. Forty percent of these limit cycles are self-excited attractors while sixty percent of them are hidden attractors. Changing this new system to its forced version, we introduce a new chaotic system with an infinite number of coexisting strange attractors. We implement this system through field programmable gate arrays. � 2018 Chinese Physical Society and IOP Publishing Ltd.
