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Title:A Classification of Kupka-Smale Flows on the Torus
Author(s):Gardiner, Christopher John
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:This 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.
Issue Date:1981
Type:Text
Language:English
Description:76 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1981.
URI:http://hdl.handle.net/2142/68187
Other Identifier(s):(UMI)AAI8203467
Date Available in IDEALS:2014-12-14
Date Deposited:1981


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