一类特殊系统的非线性周期解  

THE NONLINEAR PERIODIC SOLUTION OF A KIND OF SPECIAL SYSTEM

作　　者：赵瑞星[1] 

机构地区：[1]中国科学院大气物理所

出　　处：《中国科学院研究生院学报》1989年第1期53-60,共8页Journal of the Graduate School of the Chinese Academy of Sciences

摘　　要：层结大气中,动量无辐散模式可化为如下的非线性系统:本文利用■Poincare形式级数法证明了这类非线性系统周期解的存在性.这说明大气中以及地球流体中动量无辐散模式,如对称型重力惯性波模式和无基流切变时的重力惯性波模式存在非线性周期解.In the stratified atmosphere,the non-divergent model can be transformed into the follow nonlinear system =-Y =X+αXY+bX^3 In this paper,we proved the existence of the periodic solution of this non- linear system by means of Poincare form series method.The results indicated that there exited nonlinear periodic solution in the non-divergent model,for example,symmetric inertia-gravitational wave model and inertia gravitational wave model without shear of the basic current in the atmosphere and geophysi- cal fluid.

关 键 词：层结大气 惯性波 非线性系统 POINCARE 级数法 对称型 基流 奇点 守恒量 洲口 

分 类 号：G3[文化科学]