NMS Flows on 3 with no Heteroclinic Trajectories Connecting Saddle Orbits

被引：4

作者：

Campos, B. ^{[1
]}

Vindel, P. ^{[1
]}

机构：

[1] Univ Jaume 1, Dpt Matemat, Castellon de La Plana, Spain

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2012年 / 24卷 / 02期

关键词：

NMS systems; Links of periodic orbits; Round handle decomposition; Connected sum; MORSE-SMALE FLOWS;

D O I：

10.1007/s10884-012-9247-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we find topological conditions for the non existence of heteroclinic trajectories connecting saddle orbits in non singular Morse-Smale flows on (3). We obtain the non singular Morse-Smale flows that can be decomposed as connected sum of flows and we show that these flows are those who have no heteroclinic trajectories connecting saddle orbits. Moreover, we characterize these flows in terms of links of periodic orbits.

引用

页码：181 / 196

页数：16

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