Bifurcation Analysis of the ENSO Recharge Oscillator With Time-Delayed Feedback

LIU Yudan; DU Zhiyuan; ZHAO Qiang

doi:10.21656/1000-0887.380332

Volume 39 Issue 10

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Article Navigation > Applied Mathematics and Mechanics > 2018 > 39(10): 1128-1136

LIU Yudan, DU Zhiyuan, ZHAO Qiang. Bifurcation Analysis of the ENSO Recharge Oscillator With Time-Delayed Feedback[J]. Applied Mathematics and Mechanics, 2018, 39(10): 1128-1136. doi: 10.21656/1000-0887.380332

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Bifurcation Analysis of the ENSO Recharge Oscillator With Time-Delayed Feedback

doi: 10.21656/1000-0887.380332

Department of Atmospheric and Oceanic Sciences, School of Physics, Peking University, Beijing 100871, P.R.China

Funds: The National Natural Science Foundation of China(41175052)

Received Date: 2017-12-22
Rev Recd Date: 2018-02-26
Publish Date: 2018-10-01

Abstract

Abstract

The time-delayed impact on a class of nonlinear ENSO recharge oscillator models was investigated through transformation of the model equations into the Van der Pol-Duffing oscillator with time-delayed feedback. The Hopf bifurcation and stable limit cycles were obtained with the averaging method. Qualitative analysis shows that equilibrium stability of the ENSO system and its oscillation are closely related to the delayed feedback amplitude and time. Finally, numerical simulations were carried out to illustrate the analytical results.
- El Nino-Southern Oscillation,
- time-delayed Van der Pol-Duffing equation,
- Hopf bifurcation

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References(23)

References

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