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静力平衡近似下大气中非线性对称运动的稳定性、分岔和突变
引用本文:彭晓林,罗德海. 静力平衡近似下大气中非线性对称运动的稳定性、分岔和突变[J]. 成都信息工程学院学报, 1991, 0(Z1)
作者姓名:彭晓林  罗德海
作者单位:成都气象学院(彭晓林),成都气象学院(罗德海)
摘    要:本文在考虑基本气流具有非线性切变情况下,导出了对称运动所满足的非线性常微分方程,并用非线性系统的稳定、分岔、突变理论,严格地讨论了非线性对称运动的稳定性、分岔和突变问题,获得了一个推广的对称不稳定判据,找到了突变产生的条件。

关 键 词:气象学  动力气象学  非线性  对称  运动  对称不稳定  分岔  突变

THE STABILITY, BIFURCATION AND CATASTROPHE OF NONLINEAR SYMMETRIC MOTION UNDER THE CONDITION OF HYASTROL BALANCE
Peng Xiaolin Luo Dehai. THE STABILITY, BIFURCATION AND CATASTROPHE OF NONLINEAR SYMMETRIC MOTION UNDER THE CONDITION OF HYASTROL BALANCE[J]. Journal of Chengdu University of Information Technology, 1991, 0(Z1)
Authors:Peng Xiaolin Luo Dehai
Affiliation:Chengdu Institute of Meteorology
Abstract:Considering the basic flow being of nonlinear shear, we deduced a nonlinear ordinary differential equation from the nonlinear symmetric motion of atmosphere, through this differential e-quation, we studied the stability, bifurcation and catastrophe of nonlinear symmetric motion, and obtained a generalized criteria of symmetric instability and the conditions of catastrophe.
Keywords:Meteorology  Dynamical meteorology  Nonlinear  Symmetric  Motion  Sym- metric instability  Bifurcation  Catastrophe.
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