Hartman线性化定理中共轭映射关于参数的连续依赖性  

Continuous Dependence on Parameters of the Conjugacy in Hartman Linearization Theorem

作　　者：刘鹏 

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》2018年第2期46-49,共4页Journal of Neijiang Normal University

基　　金：国家自然科学基金面上项目(11671061)

摘　　要：为了解C2共轭映射关于参数的依赖性,首先研究正规形理论中共轭映射关于参数的连续依赖性.然后利用特殊的不动点定理,证明线性化理论中C2共轭映射关于参数具有连续依赖性,从而扩展前人的结论.In order to find out about the parameter-related dependence of C2 conjugacy,the parameter-related continuous dependence of the conjugacy in normal norm theory is studied; then by use of the special fixed point theorem,it is proven that the parameter-related continuous dependence exists in C conjugacy in the linearization theory and the findings of our predecessors are further generalized.

关 键 词：线性化 正规形 共轭映射 连续依赖性 

分 类 号：O193[理学—数学]