A uniform C1 connecting lemma for singular flows

被引：0

作者：

Li, Ming ^{[1
,2
]}

Liu, Xingzhong ^{[3
]}

机构：

[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

[3] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2025年 / 429卷

基金：

国家重点研发计划;

关键词：

Singular flow; C-1 connecting lemma; Scaled Poincar & eacute; map; Extended linear Poincar & eacute; flow; PERIODIC-ORBITS; SETS;

D O I：

10.1016/j.jde.2025.02.043

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the uniform C1 connecting lemma [28] to singular flows. The perturbation parameters are valid in a C1-neighborhood of the given vector field. Moreover, they are also uniform on the points except singularities and some periodic ones with small period. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页码：247 / 261

页数：15