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o and Southern Oscillation(ENSO) System with Generalized Nonlinear Damping Term

作　　者：李晓静[1] 陈绚青[1] 严静[1] 曹毅[1] 

机构地区：[1]江苏理工学院数理学院,江苏常州213001

出　　处：《应用数学》2016年第3期619-624,共6页Mathematica Applicata

基　　金：国家自然科学基金(51277017);江苏省自然科学基金(BK2012583)

摘　　要：本文讨论一类厄尔尼诺-南方涛动(ENSO)系统的周期解问题.首先建立一类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;其次得到对应无阻尼系统的精确解,以及得到对应自治系统的周期解不存在性结果;再次运用Mawhin重合度理论,得到该模型的周期解存在性结果,推广了已有的结果;最后举例证明本文结果的正确性.The periodic solution problem of an El Nino 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 

分 类 号：O175[理学—数学]