Realizations of simple Smale flows on three-manifolds
In this dissertation, we discuss how to realize simple Smale flows on 3-manifolds. We use four-band and three-band templates to study the linking structure of two types of closed orbits known as attracting closed orbits and repelling closed orbits in the flow. This dissertation extends the work...
| Main Author: | |
|---|---|
| Format: | Others |
| Published: |
OpenSIUC
2016
|
| Subjects: | |
| Online Access: | https://opensiuc.lib.siu.edu/dissertations/1250 https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=2254&context=dissertations |
| Summary: | In this dissertation, we discuss how to realize simple Smale flows on 3-manifolds. We use four-band and three-band templates to study the linking structure of two types of closed orbits known as attracting closed orbits and repelling closed orbits in the flow. This dissertation extends the work done by M. Sullivan on realizing Lorenz Smale flows on 3-manifolds, by Bin Yu on realizing Lorenz-like Smale flows on 3-manifolds and continues the work of Elizabeth Haynes and Michael Sullivan on realizing simple Smale flows with a four-band template on a 3-sphere. The four-band template we use in this dissertation is different from the template used by Haynes and Sullivan. |
|---|