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具广义非线性阻尼项的11年周期太阳循环强迫厄尔尼诺-南方涛动(ENSO)系统的周期解问题

李晓静 陈绚青 严静 曹毅

应用数学2016,Vol.29Issue(3):619-624,6.
应用数学2016,Vol.29Issue(3):619-624,6.

具广义非线性阻尼项的11年周期太阳循环强迫厄尔尼诺-南方涛动(ENSO)系统的周期解问题

The Periodic Solution Problem of the 11-yr Solar Cycle Forced El Ni(n)o and Southern Oscillation(ENSO) System with Generalized Nonlinear Damping Term

李晓静 1陈绚青 1严静 1曹毅1

作者信息

  • 1. 江苏理工学院数理学院,江苏常州213001
  • 折叠

摘要

Abstract

The periodic solution problem of an El Ni(n)o and southern oscillation (ENSO) is investigated.Firstly,the 11-yr solar cycle forced ENSO system with generalized nonlinear damping term is established.Secondly,the exact solution of the corresponding undamped system is obtained,and the result about the nonexistence of periodic solution of the corresponding autonomous system is obtained.Thirdly,the result about the existence of periodic solution of the system is obtained by using Mawhin's continuation theorem.The significance is that we generalize the existing results of the literature.Finally,an example is given to illustrate that our results are right.

关键词

厄尔尼诺-南方涛动(ENSO)系统/广义非线性阻尼项/周期解

Key words

El Ni(n)o and southern oscillation(ENSO) system/Generalized nonlinear damping term/Periodic solution

分类

数理科学

引用本文复制引用

李晓静,陈绚青,严静,曹毅..具广义非线性阻尼项的11年周期太阳循环强迫厄尔尼诺-南方涛动(ENSO)系统的周期解问题[J].应用数学,2016,29(3):619-624,6.

基金项目

国家自然科学基金(51277017),江苏省自然科学基金(BK2012583). (51277017)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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