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Exploiting multiple-frequency bursting of a shape memory oscillator

Author

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

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.

Suggested Citation

  • Zhang, Xiaofang & Li, Hongqing & Jiang, Wenan & Chen, Liqun & Bi, Qinsheng, 2022. "Exploiting multiple-frequency bursting of a shape memory oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    • Handle: RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922002107
    DOI: 10.1016/j.chaos.2022.112000
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    References listed on IDEAS

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    1. Zhou, Chengyi & Xie, Fei & Li, Zhijun, 2020. "Complex bursting patterns and fast-slow analysis in a smallest chemical reaction system with two slow parametric excitations," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    2. Nepomuceno, Erivelton Geraldo & Mendes, Eduardo M.A.M., 2017. "On the analysis of pseudo-orbits of continuous chaotic nonlinear systems simulated using discretization schemes in a digital computer," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 21-32.
    3. Yu, Yue & Zhang, Cong & Chen, Zhenyu & Lim, C.W., 2020. "Relaxation and mixed mode oscillations in a shape memory alloy oscillator driven by parametric and external excitations," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    4. Ma, Xindong & Xia, Daixian & Jiang, Wenan & Liu, Mao & Bi, Qinsheng, 2021. "Compound bursting behaviors in a forced Mathieu-van der Pol-Duffing system," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
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    Cited by:

    1. Bu, Min & Li, Jing & Guo, Rong & Ma, Jinzhong, 2023. "Dynamical responses of a Gaussian colored noise-driven shape memory alloy oscillator with a periodic force," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).

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