Exploiting multiple-frequency bursting of a shape memory oscillator

Xiaofang Zhang, Hongqing Li, Wenan Jiang, Liqun Chen and Qinsheng Bi

Chaos, Solitons & Fractals, 2022, vol. 158, issue C

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.

Keywords: Bursting vibrations; Shape memory oscillator; Multiple-frequency; Nonlinearity (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922002107

DOI: 10.1016/j.chaos.2022.112000

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