摘要
讨论了厄尔尼诺-南方涛动(ENSO)大气物理动力系统.利用对时滞函数幂级数展开和微分方程解析理论,得到了海-气振子系统的幂级数解,并通过弱阻尼和强阻尼两个典型的例子叙述了相应解在对应的相平面上的轨线的发展趋势.从而指出了海-气振子的后效情况.
The El Nieno-Southern Oscillation(ENSO)coupled oscillator time delay dynamic system of atmospheric physics is studied.Using the expansion into power series for the time delay function and the analytical theory of differential equation,the series solution to corresponding sea-air oscillator system is obtained.And from two typical examples,that is,low damping and heavy damping,the evolutionary trend of trajectories on the phase plane of the solutions are related.Then this point out the aftereffect situation for the sea-air oscillator.
作者
韩祥临
汪维刚
林万涛
莫嘉琪
HAN Xianglin;WANG Weigang;LIN Wantao;MO Jiaqi(Faculty of Science,Huzhou University,Huzhou 313000,China;Department of Basic,Hefei Preschool Education College,Hefei 230011,China;State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamic,Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100029,China;College of Mathematics&Computer Science,Anhui Normal University,Wuhu 241003,China)
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2018年第1期79-86,共8页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(41275062)
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)
安徽省教育科学规划课题(JG10068)
关键词
动力系统
时滞
海-气振子
dynamic system
time delay
sea-air oscillator
