Abstract
dc:description.abstractIn 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.
Degree
thesis:*- Name thesis:degree_name
- Doctor of Philosophy
- Level thesis:degree_level
- Campus Only Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Year
- 2016
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Adhikari, Kamal Mani
- Contributors dc:contributor
-
- Sullivan, Michael
Subjects
dc:subject × 5Identifiers
dc:identifier.*- Repository record dc:identifier
- https://opensiuc.lib.siu.edu/dissertations/1250
- OAI identifier oai:identifier
- oai:opensiuc.lib.siu.edu:dissertations-2254