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17th "Summer" Conference on Topology and Applications
July 1-4, 2002
University of Auckland
Auckland, New Zealand

Organizers
David Gauld (University of Auckland), Sina Greenwood (University of Auckland), David McIntyre (University of Auckland), Warren Moors (Waikato University), Sidney Morris (University of South Australia), Vladimir Pestov (Victoria University Wellington), Ivan Reilly (University of Auckland), Des Robbie (University of Melbourne)

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The topological structure of holomorphic flows in the neighbourhood of a centre
by
Kevin A. Broughan
University of Waikato

The local structure of holomorphic flows is further elucidated by examining the set of periodic orbits in the neighbourhood of a centre. It will be shown that their union with the point is an open subset with boundary consisting of an at most countable number of separatrices. Examples will be included.

Date received: March 11, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cait-03.