A new nonlinear oscillator with infinite number of coexisting hidden and self-excited attractors. (April 2018)

• Record Type: Journal Article
• Authors: Tang 唐, Yan-Xia 妍霞; Jalil M Khalaf, Abdul; Rajagopal, Karthikeyan; Pham, Viet-Thanh; Jafari, Sajad; Tian 田, Ye 敏
• Is Part Of: Chinese physics B. Volume 27:Number 4(2018)
• Publication Date: 2018-04
• Subjects: chaotic oscillators -- multistability -- hidden attractors; 05.45.-a -- 05.45.Ac -- 05.45.Pq; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1674-1056/27/4/040502
• Languages: English
• ISSNs: 1674-1056

Abstract

Abstract : 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.