冬季平流层波动模型的分岔特性

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．

BIFURCATION PROPERTIES OF A STRATOSPHERIC VACILLATION MODEL

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.