• 中文
    • English
  • English 
    • 中文
    • English
  • Login
View Item 
  •   DSpace Home
  • 数学科学学院
  • 数学科学-已发表论文
  • View Item
  •   DSpace Home
  • 数学科学学院
  • 数学科学-已发表论文
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

一个庞卡莱映射的逼近
Approximations of a Poincare Map

Thumbnail
Full Text
一个庞卡莱映射的逼近.pdf (390.4Kb)
Date
2017
Author
贾鲁昆
程金发
温泳铭
Collections
  • 数学科学-已发表论文 [2679]
Show full item record
Abstract
在连接同宿轨的双曲不动点附近可以构造一个庞卡莱映射,但一般来说,该庞卡莱映射及其线性逼近在其整个定义域内无法做到一致逼近.通过一个例子说明Wig; gins; S证明中的一个错误,给出庞卡莱映射在整个定义域内能被逼近的一个充分条件,并证明在庞卡莱映射定义域的一个子集内,该映射与其线性化映射可以做到一致逼; 近.
 
We can construct a Poincare map near a hyperbolic point which joins a; homoclinic orbit.But in general,it cannot be uniformly approximated; linearly in its whole domain.In this paper,we first show a claim in; Stephen Wiggins' proof is wrong by an example, and then give a; sufficient condition under which the Poincare map can be approximated; linearly in its whole domain. In the end, using our method we get a; subset in which the Poincare map can be linearly approximated.
 
Citation
厦门大学学报. 自然科学版,2017,(3):384-390
URI
https://dspace.xmu.edu.cn/handle/2288/165252

copyright © 2002-2016  Duraspace  Theme by @mire  厦门大学图书馆  
About | Policies
 

 

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

LoginRegister

copyright © 2002-2016  Duraspace  Theme by @mire  厦门大学图书馆  
About | Policies