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时滞反馈作用下ENSO充电振子模型的分岔分析

刘宇丹 杜智远 赵强

刘宇丹, 杜智远, 赵强. 时滞反馈作用下ENSO充电振子模型的分岔分析[J]. 应用数学和力学, 2018, 39(10): 1128-1136. doi: 10.21656/1000-0887.380332
引用本文: 刘宇丹, 杜智远, 赵强. 时滞反馈作用下ENSO充电振子模型的分岔分析[J]. 应用数学和力学, 2018, 39(10): 1128-1136. doi: 10.21656/1000-0887.380332
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
Citation: 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

时滞反馈作用下ENSO充电振子模型的分岔分析

doi: 10.21656/1000-0887.380332
基金项目: 国家自然科学基金(41175052)
详细信息
    作者简介:

    刘宇丹(1983—),女,硕士(通讯作者. E-mail: veta_elle@pku.edu.cn).

  • 中图分类号: P433

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

Funds: The National Natural Science Foundation of China(41175052)
  • 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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出版历程
  • 收稿日期:  2017-12-22
  • 修回日期:  2018-02-26
  • 刊出日期:  2018-10-01

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