poincare transformation meaning in English

庞加莱变换

A database method of nonlinear oil film force based on poincare transformation
变换的滑动轴承非线性油膜力数据库方法
The discussing process follows the steps below : first , suppose the system ( 1 ) has only one finite singular point ( 0 , 0 ) . then we can assume b50 = 0 , which special direction is determined by equation g ( 0 ) - 0 , introduce poincare transformation to discuss infinite singular points , according to the coefficient conditions , list all possible infinite singular points and special directions , judging their type , drawing out all kinds of phase portraits
本文主要内容为：一、假设系统( 1 )只有唯一的有限远奇点( 0 ， 0 ) ，则不妨设b _ ( 50 ) = 0 ，其特殊方向由示性方程g ( ) = 0给出，引进poincare变换研究无穷远奇点，再根据各定理中的系数条件，列出系统所有可能的无穷远奇点和特殊方向，并判断其类型，由此画出系统的各种可能的全局相图。