Nonlinear Analysis of Equatorial Eastern Pacific Air-Sea Coupling Oscillation and a Limit-Cycle Theory for ENSO Cycle

HUANG Si-xun; XIANG Jie; HAN Wei

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(5): 472-480

HUANG Si-xun, XIANG Jie, HAN Wei. Nonlinear Analysis of Equatorial Eastern Pacific Air-Sea Coupling Oscillation and a Limit-Cycle Theory for ENSO Cycle[J]. Applied Mathematics and Mechanics, 2004, 25(5): 472-480.

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Nonlinear Analysis of Equatorial Eastern Pacific Air-Sea Coupling Oscillation and a Limit-Cycle Theory for ENSO Cycle

P. O. Box 003, Nanjing 211101, P. R. China

Received Date: 2003-06-28
Rev Recd Date: 2004-01-20
Publish Date: 2004-05-15

Abstract

Abstract

The troposphere and ocean mixed layer were considered as two components of a dynamic system operated by solar radiation as the constant source of energy, where upon an air-sea coupling self-exited coupling oscillation model was based with the aid of a locally averaged thermodynamic climate model, resulting mathematically in a closed self-governed dynamic system, a so-called El Nino-Southern Oscillation(ENSO) system. With the limit cycle solution of the system. It is shown that the essential physics of the coupled system can be described by the ENSO system. Compared with the observations, the theoretical limit cycle orbit mat ches the observed phase loop qualitatively. The ENSO system provides a useful theoretical framework for study of interannual variation of the tropical climate system.
- ENSO,
- limit cycle,
- self-exited oscillation

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References(12)

References

[1]	Bjerknes J.Atmospheric teleconnections from the equatorial Pacific[J].Mon Wea Rev,1969,97(3):163—172. doi: 10.1175/1520-0493(1969)097<0163:ATFTEP>2.3.CO;2
[2]	Philander S G H,Yamagata T，Pacanowshki R C.Unstable air-sea interactions in the tropics[J].J Atmos Sci,1984,41(4):604—613. doi: 10.1175/1520-0469(1984)041<0604:UASIIT>2.0.CO;2
[3]	Zebiak S E,Cane M A.A model El Nino Southern Oscillation[J].Mon Wea Rev,1987,115(10)：2262—2278. doi: 10.1175/1520-0493(1987)115<2262:AMENO>2.0.CO;2
[4]	Wakata Y,Sarachik E S.On the role of equatorial ocean modes in the ENSO cycle[J].J Phys Oceanog,1991,21(3):434—443. doi: 10.1175/1520-0485(1991)021<0434:OTROEO>2.0.CO;2
[5]	Jin F F,Neelin J D.Modes of interannual tropical ocean-atmosphere interaction—a unified view—Part Ⅰ: Numerical results[J].J Atmos Sci,1993,50(21):3477—3503. doi: 10.1175/1520-0469(1993)050<3477:MOITOI>2.0.CO;2
[6]	Jin F F,Neelin D S.Modes of interannual tropical ocean-atmosphere interaction—a unified view—Part Ⅲ: Analytical results in fully-coupled cases[J].J Atmos Sci,1993,50(21):3523—3540. doi: 10.1175/1520-0469(1993)050<3523:MOITOI>2.0.CO;2
[7]	Battisti D S,Hirst A C.Interannual variability in the tropical atmosphere-ocean model: Influence of the basic state, ocean geometry and nonlinearity[J].J Atmos Sci, 1989,46(12)：1687—1712. doi: 10.1175/1520-0469(1989)046<1687:IVIATA>2.0.CO;2
[8]	Philander S G H.El Nino, La Nina,and the Southern Oscillation[M].San Diego,Calif:Academic, 1990.
[9]	巢纪平.厄尔尼诺和南方涛动力学[M]，北京:气象出版社，1993.
[10]	Neelin J D,Battisti D S, Hirst A C,et al.ENSO theory[J].J Geophs Res,1998,103(c7):14261—14290. doi: 10.1029/97JC03424
[11]	项杰，赤道东太平洋海气耦合振荡的理论分析[D].南京：空军气象学院硕士论文，1990.
[12]	叶彦谦.极限环理论[M].上海:上海科技出版社，1984.