运用分岔理论 ,对同时发生初级成核和二次成核的等温连续混合悬浮混合排料 (CMSMPR)结晶器的定态特性进行了分析 ,推导了系统存在多定态及发生持续振荡的参数条件 .以结晶过程的物性参数、动力学参数以及操作参数为基础 ,应用非线性方程组的延拓方法分别求解极限点条件方程组及Hopf分岔点条件方程组 ,确定了系统存在多定态及发生持续振荡的参数边界 The bifurcation theory is used to analyze the steady state properties of the CMSMPR mold with primary nucleation and secondary nucleation. The results show that the system has multi-steady state and sustained oscillation Based on the physical parameters, kinetic parameters and operating parameters of the crystallization process, the conditional equations of the ultimate point condition and the Hopf bifurcation condition equations were solved respectively by continuation of the nonlinear equations, and the existence of the multi-constant state And the parametric boundary where continuous oscillation occurs