典型文献
On H?lder Dependence of the Parameterized Hartman-Grobman Theorem
文献摘要：
The well-known Hartman-Grobman Theorem says that a C1 hyperbolic diffeomorphism F can be locally linearized by a homeomorphism Φ.For parameterized systems Fθ,known results show that the corresponding homeomorphisms Φθ exist uniquely in a functional space equipped with the supremum norm and depend continuously on the parameter θ.In this paper,we further extend the results to H?lder dependence of Φθ on 0 by Pugh's strategy,but introducing a kind of special H?lder norm instead of the usual supremum norm in the proof to control the linear parts of Fθ.This requires a new H?lder linearization result for every Fθ.
文献关键词：
中图分类号：
作者姓名：
Wen Meng ZHANG;Peng LIU;Xuan LEI
作者机构：
School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,P.R.China
文献出处：
引用格式：
[1]Wen Meng ZHANG;Peng LIU;Xuan LEI-.On H?lder Dependence of the Parameterized Hartman-Grobman Theorem)[J].数学学报（英文版）,2022(01):137-147
A类：
Grobman,diffeomorphism,homeomorphism,homeomorphisms
B类：
On,lder,Dependence,Parameterized,Hartman,Theorem,well,known,says,that,C1,hyperbolic,can,be,locally,linearized,by,For,parameterized,systems,results,show,corresponding,exist,uniquely,functional,space,equipped,supremum,norm,continuously,In,this,paper,further,extend,dependence,Pugh,strategy,but,introducing,kind,special,instead,usual,proof,control,parts,This,requires,new,linearization,every
AB值：
0.581218
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