Smale Flows on Three Dimensional Manifolds

We discuss how to realize simple Smale Flows on 3-manifolds. We focus on three questions: (1) What are the topological conjugate classes of Lorenz Smale flows that can be realized on <italic>S<super>3</super></italic>? (2) Which 3-manifolds can also admit a Lorenz Smale flow? (3) What are the topological conjugate classes of simple Smale flows whose saddle set can be modeled by &nu(0+,0+,0,0) can be realized on <italic>S<super>3</super></italic>? This dissertation extends the work of M. Sullivan and B. Yu.

Name thesis:degree_name

Doctor of Philosophy

Level thesis:degree_level

Campus Only Dissertation

Discipline thesis:degree_discipline

Mathematics

Year

2012

Author dc:creator

• Haynes, Elizabeth Lydia

Contributors dc:contributor

• Sullivan, Michael

• 3-manifolds
• Smale Flows
• templates

Repository record dc:identifier

https://opensiuc.lib.siu.edu/dissertations/470

OAI identifier oai:identifier

oai:opensiuc.lib.siu.edu:dissertations-1470