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冬季平流层波动模型的分岔特性
引用本文:胡雄,张训械.冬季平流层波动模型的分岔特性[J].地球物理学报,1995,38(4):428-438.
作者姓名:胡雄  张训械
作者单位:中国科学院武汉物理研究所, 武汉 430071
摘    要:从描述波流相互作用的Holton-Dunkerton简称H-D)模型出发,应用延拓方法求解常微分方程的分岔问题,研究冬季平流层波动模型的分岔特性.给出了大气行星波2与流相互作用的底部边界强迫波、底部边界平均纬向风场、风切变等参数的分岔特性,同时给出了波1与流相互作用的底部边界强迫波的分岔特性的结果.

关 键 词:波流相互作用  H-D模型  延拓方法  分岔特性  
收稿时间:1994-05-11

BIFURCATION PROPERTIES OF A STRATOSPHERIC VACILLATION MODEL
HU XIONG,ZHANG XUN-XIE,HUANG XIN-YU.BIFURCATION PROPERTIES OF A STRATOSPHERIC VACILLATION MODEL[J].Chinese Journal of Geophysics,1995,38(4):428-438.
Authors:HU XIONG  ZHANG XUN-XIE  HUANG XIN-YU
Institution:Wuhan Institute of Physics, Academia Sinica, Wuhan 430071
Abstract:Bifurcation properties of a stratospheric vacillation model, the HD model which describes the wave-zonal flow interactions in a β-channel under a nonconservative constraint with zonal-flow forcing and wave dissipation, are investigated numerically The forcing wave, or the intensity of zonal wind at the bottom boundary, or the shear of zonal wind is changed as a parameter. The steady solution branches are obtained by using the pseudo-arclength continuation method and the linear stabilityof a steady solution is analyzed by calculating the eigenvalues of the linearized system. The bifurcation diagrams of planetary wave 2-flow interactions for three parameters described above and planetary wave 1-flow interactions for parameter forcing wade are presented. The results show that multi-equilibria exist in the stratosphere during winter and may be an explanation to the interannual variabilities of the winter stratosphere.
Keywords:Bifurcation properties  Wave-flow interactions  H-D model  Pseudo-arclength continuation method
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