【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。更多还原

【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.更多还原