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Experimental observation of bursting patterns in Van der Pol oscillators

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  • Makouo, L.
  • Woafo, P.

Abstract

This paper presents an experimental demonstration of the generation of bursting patterns in Van der Pol oscillator driven by two types of excitation. It is first shown numerically and experimentally the oscillatory behavior of a Van der Pol oscillator powered by a DC excitation source. Then, in the case of two slowly sinusoidal voltage sources, periodic and chaotic bursting oscillations are generated experimentally. The period of the bursting oscillations diminishes when the excitation frequencies increase. These results are in agreement with the results obtained numerically.

Suggested Citation

  • Makouo, L. & Woafo, P., 2017. "Experimental observation of bursting patterns in Van der Pol oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 94(C), pages 95-101.
    • Handle: RePEc:eee:chsofr:v:94:y:2017:i:c:p:95-101
    DOI: 10.1016/j.chaos.2016.11.013
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    References listed on IDEAS

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    1. Lu, Qishao & Yang, Zhuoqin & Duan, Lixia & Gu, Huaguang & Ren, Wei, 2009. "Dynamics and transitions of firing patterns in deterministic and stochastic neuronal systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 577-597.
    2. D. Valenti & G. Augello & B. Spagnolo, 2008. "Dynamics of a FitzHugh-Nagumo system subjected to autocorrelated noise," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 65(3), pages 443-451, October.
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    Cited by:

    1. Jianbin He & Jianping Cai, 2019. "Design of a New Chaotic System Based on Van Der Pol Oscillator and Its Encryption Application," Mathematics, MDPI, vol. 7(8), pages 1-12, August.
    2. Song, Jin & Han, Xiujing & Zou, Yong & Jiang, Yandan & Bi, Qinsheng, 2022. "Relaxation oscillation patterns induced by amplitude-modulated excitation in the Duffing system," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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