Exploiting multiple-frequency bursting of a shape memory oscillator. (May 2022)

• Record Type: Journal Article
• Authors: Zhang, Xiaofang; Li, Hongqing; Jiang, Wenan; Chen, Liqun; Bi, Qinsheng
• Is Part Of: Chaos, solitons and fractals. Volume 158(2022)
• Publication Date: 2022-05
• Subjects: Bursting vibrations -- Shape memory oscillator -- Multiple-frequency -- Nonlinearity; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2022.112000
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: In this paper we explored a novel multiple-frequency bursting of a shape memory oscillator under parametrically and externally excitation. Based on the fast-slow dynamics analysis method, the one-parameter bifurcation curves under different frequency ratios are proposed for some specific parameters. The corresponding jumping phenomenon are verified via transformed phase, and the multi-valued characteristic are observed by the domain of attraction. The results express that the multiple-frequency oscillation can induce complex bursting phenomenon. In addition, the jump multi-value phenomena of tristability are more abundant than bistability and monostability.