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Spring Topology and Dynamical Systems Conference 2003
March 20-22, 2003
Texas Tech University
Lubbock, TX, USA

Organizers
Wayne Lewis, Razvan Gelca, Harold Bennett, Carl Seaquist

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Topological bifurcations
by
Robert L. Devaney
Boston University

Complex dynamics is a field rich in topological structures. In particular, the Julia sets of entire and meromorphic functions offer a wide variety of interesting structures. In this lecture, we will describe how some of these Julia sets may abruptly change from simple to complicated topology as parameters vary. For example, Julia sets may change from a simple closed curve to a Cantor bouquet, or from a Cantor set to the entire plane at particular bifurcation points.

Date received: January 24, 2003

Copyright © 2003 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 # cajz-08.