NMS flows on \(S ^{3}\) with no heteroclinic trajectories connecting saddle orbits (Q431122)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: NMS flows on \(S ^{3}\) with no heteroclinic trajectories connecting saddle orbits |
scientific article; zbMATH DE number 6050502
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | NMS flows on \(S ^{3}\) with no heteroclinic trajectories connecting saddle orbits |
scientific article; zbMATH DE number 6050502 |
Statements
NMS flows on \(S ^{3}\) with no heteroclinic trajectories connecting saddle orbits (English)
0 references
26 June 2012
0 references
By investigating the 3-manifold obtained from iterated connected sums of tori, the authors characterize the nonsingular Morse-Smale system (NMS) links of periodic orbits on \(S^3\) associated to round 1-handles. They obtain a correspondence between flows characterized by the links and the NMS flows on \(S^3\) that are connected sums of flows. They show that such flows have no heteroclinic trajectories connecting saddle orbits.
0 references
NMS systems
0 references
links of periodic orbits
0 references
round handle decomposition
0 references
connected sum
0 references
