Bifurcation Analysis of the ENSO Recharge Oscillator With Time-Delayed Feedback
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摘要: 通过数学变换将一类含有时滞反馈机制的ENSO充电振子模型转换成时滞Van der Pol-Duffing方程,并以此为基础来研究该ENSO系统的零解稳定性、Hopf分岔和极限环等动力学特征.用平均法分析了其零解的稳定性与时滞效应的强度,其和时间都有关系,讨论了时滞负反馈对ENSO振荡的影响并通过简单数值模拟验证理论分析的结果.
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关键词:
- ENSO /
- 时滞Van der Pol-Duffing方程 /
- Hopf分岔
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. -
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