A new nonlinear oscillator with infinite number of coexisting hidden and self-excited attractors

作者：Tang, Yan-Xia; Khalaf, Abdul Jalil M.; Rajagopal, Karthikeyan; Viet-Thanh Pham^*; Jafari, Sajad; Tian, Ye

来源：Chinese Physics B, 2018, 27(4): 040502.

DOI：10.1088/1674-1056/27/4/040502

• chaotic oscillators
• multistability
• hidden attractors

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.

• 出版日期2018-4
• 单位河北北方学院