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Palmore, Julian Branson, William Balko 2015-09-28T15:20:31Z 2015-09-28T15:20:31Z 10000-01-01 2000 2000 This work examines the behavior of meromorphic vector fields k(z) on the plane. The set of trajectories of k(z) whose maximal interval of definition is not all of R is called the incomplete set, and the analysis of k( z) then falls into two parts: the behavior of the incomplete set, and the behavior of the complement of the incomplete set. It is shown that zeros, poles and alpha and o limit points of k( z) all lie within the closure of the incomplete set. In a component of the complement of the closure of the incomplete set, all trajectories are either periodic with the same period (with the possible exception of one center lying within the component), or all trajectories are one to one trajectories. Made available in DSpace on 2015-09-28T15:20:31Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9971037.pdf: 3353886 bytes, checksum: cdffbbefc453b38bac336e17dc703598 (MD5) Previous issue date: 2000 Embargo set by: Seth Robbins for item 88274 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 107 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000. http://hdl.handle.net/2142/86993 (MiAaPQ)AAI9971037 eng Mathematics Global Analysis of Meromorphic Vector Fields in the Plane text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.