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通过数学变换将一类厄尔尼诺-南方涛动 (简称 ENSO)的充电-放电振子模型转换成 van der Pol 方程, 由 van der Pol 方程的定性分析严格证明了该 ENSO 振荡子模型存在一个稳定的极限环.
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关键词:
- ENSO 模型 /
- van der Pol方程 /
- 极限环
A kind of recharge-discharge oscillator model for the El Niño-Southern Oscillation (ENSO) is considered. By transforming the ENSO model into the van der Pol equation and analyzing its properties qualitatively, we proved that the ENSO recharge-discharge oscillator model possesses a stable limit cycle.-
Keywords:
- ENSO model /
- van der Pol equation /
- limit cycle
[1] Feng G L, Dong W J 2005 Acta. Meteo. Sin. 63 864 (in Chinese) [封国林, 董文杰 2005 气象学报 63 864]
[2] Jin F F 1997 J. Atmos. Sci. 54 811
[3] Jin F F 1997 J. Atmos. Sci. 54 830
[4] Wang B, Feng Z 1999 J. Atmos. Sci. 56 5
[5] Wang C Z 2001 Adv. Atmos. Sci. 18 674
[6] Zhou X C, Yao J S, Mo J Q 2012 Chin. Phys. B 21 030201
[7] Li X J 2010 Chin. Phys. B 19 030201
[8] Cao X Q, Song J Q, Zhang W M, Zhao J, Zhu X Q 2012 Acta Phys. Sin. 61 030203 (in Chinese) [曹小群, 宋君强, 张卫民, 赵军, 朱小谦 2012 61 030203]
[9] Xie F, Lin Y H, Lin W T, Mo J Q 2011 Acta Phys. Sin. 60 010201 (in Chinese) [谢峰, 林一骅, 林万涛, 莫嘉琪 2011 60 010201]
[10] Liu S K, Liu S D 2012 Nonlinear equations in Physics (Peking University Press, Beijing) (in Chinese) [刘式适, 刘式达 2012 物理学中的非线性方程 (北京: 北京大学出版社)]
[11] Wang W, Xu Y, Lu S P 2011 Acta Phys. Sin. 60 030205 (in Chinese) [王雯, 徐燕, 鲁世平 2011 60 030205]
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[1] Feng G L, Dong W J 2005 Acta. Meteo. Sin. 63 864 (in Chinese) [封国林, 董文杰 2005 气象学报 63 864]
[2] Jin F F 1997 J. Atmos. Sci. 54 811
[3] Jin F F 1997 J. Atmos. Sci. 54 830
[4] Wang B, Feng Z 1999 J. Atmos. Sci. 56 5
[5] Wang C Z 2001 Adv. Atmos. Sci. 18 674
[6] Zhou X C, Yao J S, Mo J Q 2012 Chin. Phys. B 21 030201
[7] Li X J 2010 Chin. Phys. B 19 030201
[8] Cao X Q, Song J Q, Zhang W M, Zhao J, Zhu X Q 2012 Acta Phys. Sin. 61 030203 (in Chinese) [曹小群, 宋君强, 张卫民, 赵军, 朱小谦 2012 61 030203]
[9] Xie F, Lin Y H, Lin W T, Mo J Q 2011 Acta Phys. Sin. 60 010201 (in Chinese) [谢峰, 林一骅, 林万涛, 莫嘉琪 2011 60 010201]
[10] Liu S K, Liu S D 2012 Nonlinear equations in Physics (Peking University Press, Beijing) (in Chinese) [刘式适, 刘式达 2012 物理学中的非线性方程 (北京: 北京大学出版社)]
[11] Wang W, Xu Y, Lu S P 2011 Acta Phys. Sin. 60 030205 (in Chinese) [王雯, 徐燕, 鲁世平 2011 60 030205]
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