The periodic solution to a delayed sea-air oscillator coupling model for the El Nifio-Southern Oscillation （ENSO）

A time-delay sea-air oscillator coupling model is studied. Using Mawhin＇s continuation theorem, the result on the existence of periodic solutions for the sea-air oscillator model is obtained.     

Asymptotic solution for a class of sea-air oscillator model for El Nin^～o-southern oscillation

The El Nifio-Southern Oscillation （ENSO） is an interannual phenomenon involved in the tropical Pacific Oceanatmosphere interactions. In this paper, an asymptotic method of solving the nonlinear equation for the ENSO model is used. And based on a class of oscillator of ENSO model, the approximate solution of a corresponding problem is studied by employing the perturbation method. Firstly, an ENSO model of nonlinear time delay equation of equatorial Pacific is introduced, Secondly, by using the perturbed method, the zeroth and first order asymptotic perturbed solutions are constructed. Finally, from the comparison of the values for a figure, it is seen that the first asymptotic perturbed solution using the perturbation method has a good accuracy. And it is proved from the results that the perturbation method can be used as an analytic operation for the sea surface temperature anomaly in the equatorial Pacific of the atmosphere-ocean oscillation for the ENSO model.     

The periodic oscillations in the ENSO recharge–discharge oscillator model

A class of recharge–discharge oscillator model for the El Ni？o/Southern Oscillation （ENSO） is considered. A stable limit cycle is obtained by transforming the ENSO model into the van der Pol-Duffing equation. We proved that there exists periodic oscillations in the ENSO recharge–discharge oscillator model.     

一类厄尔尼诺海-气振子机理的摄动解

研究了一类厄尔尼诺-南方海涛(ENSO)机理耦合系统振荡.利用摄动理论和方法，较简便地得到了一类ENSO模型解的一致有效的渐近展开式. 关键词： 非线性 摄动理论 厄尔尼诺-南方涛动模型     

The periodic solution to the model for the El Nio-Southern oscillation

A class of oscillator of the El Ni?o-Southern oscillation model is considered. Using Mawhin's continuation theorem, a result on the existence of periodic solutions for ENSO model is obtained.     

The periodic solution to Nino-Southern the model for the El oscillation

A class of oscillator of the EI Nifio-Southern oscillation model is considered. Using Mawhin＇s continuation theorem, a result on the existence of periodic solutions for ENSO model is obtained.     

Asymptotic solution for the El Nino time delay sea-air oscillator model

A sea-air oscillator model is studied using the time delay theory. The aim is to find an asymptotic solving method for the El Nino-southern oscillation （ENSO） model. Employing the perturbed method, an asymptotic solution of the corresponding problem is obtained. Thus we can obtain the prognoses of the sea surface temperature （SST） anomaly and the related physical quantities.     

一类厄尔尼诺时滞海-气振子摄动解

研究了一类厄尔尼诺-南方涛动(ENSO)的时滞振子耦合系统. 利用时滞理论, 摄动等方法求出了ENSO模型解的渐近式,并讨论了相应问题的渐近性态. 关键词： 非线性 摄动 ENSO模型     

海-气振子厄尔尼诺-南方涛动模型的近似解

研究了一类厄尔尼诺-南方涛动(ENSO)的时滞耦合系统振荡的模型.利用同伦映射方法求出了ENSO模型解的渐近展开式,并讨论了相应问题的渐近性态。     

一类厄尔尼诺/拉尼娜-南方涛动海-气振子的奇摄动解

厄尔尼诺/拉尼娜-南方涛动是涉及赤道太平洋中的一个海-气交互的年际现象.本文的目的是建立一类海-气振子模型的非线性奇摄动问题的渐近求解方法.并在一类海-气振子模型的基础上,借用奇摄动方法研究了对应问题的近似解.由奇摄动方法得到的结果分析厄尔尼诺/拉尼娜-南方涛动海-气振子模型的赤道太平洋的海表温度异常和气-海振子的温度深度异常.     

一类厄尔尼诺海-气时滞振子的渐近解

研究了一类厄尔尼诺-南方涛动机制. 利用奇异摄动理论和方法求出了厄尔尼诺-南方涛动模型的外部解及初始层校正项. 从而得到问题解的渐近展开式, 并讨论了解的渐近性态. 关键词： 非线性 渐近解 厄尔尼诺-南方涛动模型     

Perturbation method of studying the EI Nifio oscillation with two parameters by using the delay sea-air oscillator model

The EI Nio-southern oscillation (ENSO) is an interannual phenomenon involved in tropical Pacific oceanatmosphere interactions. In this paper, we develop an asymptotic method of solving the nonlinear equation using the ENSO model. Based on a class of the oscillator of the ENSO model, a approximate solution of the corresponding problem is studied employing the perturbation method.     

一类海-气振子模型的微扰解

文章创建一个求解关于海-气振子模型非线性方程的渐近方法,并且基于一类海-气振子模型,借助于改进的微扰方法,首先按时滞参数进行展开,然后对两小参数的相对值分为三种情形进行讨论,最后利用微分不等式理论得到了问题解的一致有效的渐近展开式.     

一类厄尔尼诺-南方涛动耦合振子动力学模型的震荡近似解

研究了一类厄尔尼诺和南方涛动(ENSO)耦合振子动力学模型. 利用奇摄动理论的参数变值法和平均法, 得到了对应ENSO耦合振子模型方程的震荡近似解. 关键词： ENSO振子 奇摄动 近似解     

Asymptotic solving method for a sea-air oscillator model of atmospheric physics

In this paper, a class of coupled system for the El Nin o/La Nin a southern oscillation (ENSO) atmospheric physics oscillation model is considered. We propose an ENSO atmospheric physics model using a method from the asymptotic theory. It is indicated from the results that the asymptotic method can be used for analyzing the sea surface temperature anomaly and the thermocline depth anomaly of the atmosphere-ocean oscillation for the ENSO model in the equatorial Pacific.