中国物理B ›› 2006, Vol. 15 ›› Issue (7): 1450-1453.doi: 10.1088/1009-1963/15/7/011

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Singularly perturbed solution of a sea--air oscillator model for the ENSO

王辉1, 莫嘉琪2, 林万涛3   

  1. (1)Chinese Academy of Meteorological Sciences, Beijing 100081, China; (2)Department of Mathematics, Anhui Normal University, Wuhu 241000, China;;Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai,200240, China; (3)State Key Laboratory of Numerical Modeling for Atmosphere Sciences and Geophysical Fluid Dynamics,Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
  • 收稿日期:2005-11-18 修回日期:2006-04-04 出版日期:2006-07-20 发布日期:2006-07-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 90111011 and 10471039), the State Key Development Program for Basics Research of China (Grant Nos 2003CB415101-03 and 2004CB418304),the Key Project of the Chinese Academy

Singularly perturbed solution of a sea--air oscillator model for the ENSO

Mo Jia-Qi (莫嘉琪)ab, Wang Hui (王辉)c, Lin Wan-Tao (林万涛)d   

  1. a Department of Mathematics, Anhui Normal University, Wuhu 241000, China; b Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240, China; c Chinese Academy of Meteorological Sciences, Beijing 100081, China; d State Key Laboratory of Numerical Modeling for Atmosphere Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
  • Received:2005-11-18 Revised:2006-04-04 Online:2006-07-20 Published:2006-07-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 90111011 and 10471039), the State Key Development Program for Basics Research of China (Grant Nos 2003CB415101-03 and 2004CB418304),the Key Project of the Chinese Academy

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摘要： A time delay equation for the sea--air oscillator model is studied. The aim is to create an asymptotic solving method of nonlinear equation for the El Ni\tilde{\rm n}o--Southern Oscillation model. And based on a class of oscillators of the model, employing the method of ENSO singular perturbation, the asymptotic solution of corresponding problem is obtained. It is proven from the results that the method of singular perturbation can be used for analysing the sea surface temperature anomaly in the equatorial eastern Pacific of the atmosphere--ocean oscillation for ENSO model.

关键词: nonlinear, time delay, ENSO

Abstract: A time delay equation for the sea--air oscillator model is studied. The aim is to create an asymptotic solving method of nonlinear equation for the El Ni?o--Southern Oscillation model. And based on a class of oscillators of the model, employing the method of ENSO singular perturbation, the asymptotic solution of corresponding problem is obtained. It is proven from the results that the method of singular perturbation can be used for analysing the sea surface temperature anomaly in the equatorial eastern Pacific of the atmosphere--ocean oscillation for ENSO model.

Key words: nonlinear, time delay, ENSO

中图分类号:  (El Nino Southern Oscillation)

  • 92.10.am
92.05.Hj (Physical and chemical properties of seawater) 92.60.Cc (Ocean/atmosphere interactions, air/sea constituent fluxes) 93.30.Pm (Pacific Ocean)