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  

THE STABILITY, BIFURCATION AND CATASTROPHE OF NONLINEAR SYMMETRIC MOTION UNDER THE CONDITION OF HYASTROL BALANCE

作　　者：彭晓林[1] 罗德海[1] 

机构地区：[1]成都气象学院

出　　处：《成都信息工程学院学报》1991年第Z1期9-20,共12页Journal of Chengdu University of Information Technology

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。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.

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 

分 类 号：P4[天文地球—大气科学及气象学]