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Time-varying parameters induced extreme events in Liénard systems and network

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  • Leo Kingston, S.

Abstract

In this study, we have explored the effect of time-varying parameters in a forced Liénard system. The system exhibits extreme events that manifest occasional large deviations from the bounded motion. In the absence of time-varying parameters, the system shows either a chaotic or periodic state. However, with the influence of parametric perturbation, the system elucidates rare large amplitude dynamics that appear at irregular time intervals. The emergence of extreme events and their transitions are characterized using various dynamical and statistical measures. The parametric perturbation is also applied to different parameters in the system, and their relevant dynamics are evaluated. We extended our study into a network of Liénard systems that exemplify the impact of time-varying parameters in the emergence of extreme events in the oscillatory network.

Suggested Citation

  • Leo Kingston, S., 2024. "Time-varying parameters induced extreme events in Liénard systems and network," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    • Handle: RePEc:eee:chsofr:v:186:y:2024:i:c:s096007792400835x
    DOI: 10.1016/j.chaos.2024.115283
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    References listed on IDEAS

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    1. Sharma, Sanjeev Kumar & Mondal, Arnab & Mondal, Argha & Aziz-Alaoui, M.A. & Upadhyay, Ranjit Kumar & Ma, Jun, 2022. "Emergence of Canard induced mixed mode oscillations in a slow–fast dynamics of a biophysical excitable model," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Wenju Cai & Simon Borlace & Matthieu Lengaigne & Peter van Rensch & Mat Collins & Gabriel Vecchi & Axel Timmermann & Agus Santoso & Michael J. McPhaden & Lixin Wu & Matthew H. England & Guojian Wang &, 2014. "Increasing frequency of extreme El Niño events due to greenhouse warming," Nature Climate Change, Nature, vol. 4(2), pages 111-116, February.
    3. Huang, Juanjuan & Bi, Qinsheng, 2023. "Mixed-mode bursting oscillations in the neighborhood of a triple Hopf bifurcation point induced by parametric low-frequency excitation," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
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