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University of Illinois at Urbana-Champaign
A Classification of Kupka-Smale Flows on the Torus
Abstract
dc:descriptionThis thesis presents a classification up to topological equivalence of those flows on the torus satisfying: (1) all singular points and closed orbits are hyperbolic; and (2) there are no saddle connections. Such flows are known as Kupka-Smale flows. In the process of generating invariants for the classification a qualitative picture is produced describing the structure of such flows in the case that they possess a limit set which is neither a singular point nor a closed orbit.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Gardiner, Christopher John
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8203467
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/68187