| 太阳强迫厄尔尼诺/南方涛动充电振子模型的Hopf分岔与混沌 |
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| 引用本文： | 张妩帆,赵强.太阳强迫厄尔尼诺/南方涛动充电振子模型的Hopf分岔与混沌[J].物理学报,2014,63(21):210201-210201. |
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| 作者姓名： | 张妩帆 赵强 |
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| 作者单位： | 北京大学物理学院, 北京 100871 |
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| 基金项目： | 国家自然科学基金(批准号40975028和41175052)资助的课题.* Project supported by the National Natural Science Foundation of China |
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| 摘 要： | 本文研究了一类太阳强迫的厄尔尼诺/南方涛动(ENSO)充电振子数理模型,通过数学变换将此ENSO振子方程组变换为有周期强迫项的van der Pol-Duffing方程,利用谐波平衡法定性分析得到此ENSO系统发生Hopf分岔的条件并做简单数值模拟,结果发现随着强迫作用增大,11年周期太阳循环强迫的ENSO系统经历准周期、倍频锁相到混沌的过程.
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| 关 键 词： | 厄尔尼诺/南方涛动 van der Pol-Duffing方程 Hopf分岔 混沌 |
| 收稿时间： | 2014-01-15 |
Hopf bifurcation and chaos in the solar-forced El Niño /Southern Oscillation recharge oscillator model |
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| Zhang Wu-Fan
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Zhao Qiang.Hopf bifurcation and chaos in the solar-forced El Niño /Southern Oscillation recharge oscillator model[J].Acta Physica Sinica,2014,63(21):210201-210201. |
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| Authors: | Zhang Wu-Fan Zhao Qiang |
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| Abstract: | A class of solar-forced recharge oscillator model for the El Niño /Southern Oscillation (ENSO) is considered. By transforming the ENSO model equations into the van der Pol-Duffing oscillator with periodic forcing, we obtain the Hopf bifurcation conditions by the harmonic balance method. Numerical simulations also show that the 11-yr solar-cycle forced ENSO system undergoes a transition from the quasi-periodicity route to chaos as the solar-cycle forcing is increased.
Keywords：
El Niño/Southern Oscillation
van der Pol-Duffing equation
Hopf bifurcation
chaos |
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| Keywords: | El Niño/Southern Oscillation van der Pol-Duffing equation Hopf bifurcation chaos |
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