含参正规形对参数的依赖性  

On the parameter dependence of the normalized form containing a parameter

作　　者：唐林 TANG Lin(School of Mathematics Sciences,Chongqing Normal University,Chongqing 401331,China)

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《内江师范学院学报》2022年第12期29-33,共5页Journal of Neijiang Normal University

基　　金：国家自然科学基金项目(11671061)。

摘　　要：对于二维非双曲微分同胚,在正规形变换中可以运用经典理论求出其共轭微分同胚.但当线性系统含参数时,其双曲性就会发生变化,共轭微分同胚可能也会发生变化.运用矩阵表示法求出线性含参系统的正规形,再通过对比系数法探究共轭微分同胚的连续性.As for the normal form transformation in two-dimensional non-hyperbolic differential isomorphisms, classical theory can be used to work out its conjugate differential isomorphism. However, when a linear system contains parameters, its hyperbolism will undergo changes, and its conjugate differential embryonic will also change. The matrix notation method is used to find the normal form of the linear parametric system, and then the continuity of the conjugate differential embryo is explored by the contrast coefficient method.

关 键 词：正规形 微分同胚 伴随算子 矩阵表示法 对比系数 

分 类 号：O193[理学—数学]