一类ENSO海-气振子时滞耦合动力系统  

A Class of ENSO Sea-air Oscillator Time Delay Coupling Dynamic System

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作  者:欧阳成[1] 汪维刚 莫嘉琪[3] Ouyang Cheng;Wang Weigang;MO Jiaqi(Faculty of Science, Huzhou University, Huzhou 313000, China;Department of Basic, Hefei Preschool Education College, Hefei 230011, China;School of Mathematics & Statistics, Anhui Normal University, Wuhu 241003, China)

机构地区:[1]湖州师范学院理学院,湖州313000 [2]合肥幼儿师范高等专科学校,合肥230011 [3]安徽师范大学数学和统计学院,芜湖241003

出  处:《应用数学学报》2019年第3期334-344,共11页Acta Mathematicae Applicatae Sinica

基  金:国家自然科学基金(11771005);浙江省自然科学基金(LY13A010005);安徽省教育厅自然科学重点基金(KJ2017A901,KJ2018A0964);安徽省教育科学规划课题(JG10068)资助项目

摘  要:描述了一类厄尔尼诺/拉尼娜-南方涛动(ENSO)动力系统。首先求得了退化模型的解,其次对方程的时滞函数作了处理,然后利用摄动方法得到了对应问题的渐近解。最后,研究了模型的参数对振子系统的影响并做出了对应的曲线图形,同时对系统的物理量的变化作了描述。A class of El Nino/La Nina-Southern Oscillation (ENSO) dynamic system is described. Firstly, the reduced solution to dynamic system was got. Secondly, the time delay function of equation was managed. Then the asymptotic solution to the corresponding problem was obtained by employing the perturbation method. Finally, the parameters of the dynamic system were studied and the curve figures of the solution were obtained. And the physical qua nt ities of the dynamic system were illustrated.

关 键 词:非线性 动力系统 ENSO模型 

分 类 号:O175.14[理学—数学]

 

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