Exploiting multiple-frequency bursting of a shape memory oscillator

Xiaofang Zhang; Hongqing Li; Wenan Jiang; Liqun Chen; Qinsheng Bi

doi:10.1016/j.chaos.2022.112000

Exploiting multiple-frequency bursting of a shape memory oscillator

Xiaofang Zhang
, Hongqing Li
, Wenan Jiang^*
, Liqun Chen
, Qinsheng Bi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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.

Original language	English
Article number	112000
Journal	Chaos, Solitons and Fractals
Volume	158
DOIs	https://doi.org/10.1016/j.chaos.2022.112000
State	Published - May 2022
Externally published	Yes

Keywords

Bursting vibrations
Multiple-frequency
Nonlinearity
Shape memory oscillator

Access to Document

10.1016/j.chaos.2022.112000

Cite this

@article{ec8b53bec06341238f60e9c00692a850,

title = "Exploiting multiple-frequency bursting of a shape memory oscillator",

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, Multiple-frequency, Nonlinearity, Shape memory oscillator",

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

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",

year = "2022",

month = may,

doi = "10.1016/j.chaos.2022.112000",

language = "英语",

volume = "158",

journal = "Chaos, Solitons and Fractals",

issn = "0960-0779",

publisher = "Elsevier Ltd",

}

TY - JOUR

T1 - Exploiting multiple-frequency bursting of a shape memory oscillator

AU - Zhang, Xiaofang

AU - Li, Hongqing

AU - Jiang, Wenan

AU - Chen, Liqun

AU - Bi, Qinsheng

PY - 2022/5

Y1 - 2022/5

N2 - 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.

AB - 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.

KW - Bursting vibrations

KW - Multiple-frequency

KW - Nonlinearity

KW - Shape memory oscillator

UR - https://www.scopus.com/pages/publications/85127002134

U2 - 10.1016/j.chaos.2022.112000

DO - 10.1016/j.chaos.2022.112000

M3 - 文章

AN - SCOPUS:85127002134

SN - 0960-0779

VL - 158

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

M1 - 112000

ER -

Exploiting multiple-frequency bursting of a shape memory oscillator

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this