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The 1996 Joint Spring Topology Conference and Southeast Dynamical Systems Conference
March 7-9, 1996
Ball State University
Muncie, IN, USA

Organizers
John Emert, Kerry Jones, Roger Nelson

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The Distance from an Attracting Fixed Point to the Julia Set
by
Bradford J. Kline
US Air Force Academy

How large is a basin of attraction? The question can be interpreted in a variety of ways. Here, we present an elegant result for single-variable complex rational functions which, in certain cases, yields a method for determining the exact distance from an attracting fixed point to the Julia set. Such a distance is a bound on the amount of error tolerable in initially approximating an attracting fixed point of a complex rational function.

Date received: January 17, 1996

Copyright © 1996 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 # caaa-03.