|
Organizers |
A chaotic triangle or some dynamical properties of F(z)=z2-2conj(z)
by
Jefferson King-Dávalos
Facultad de Ciencias, UNAM, México, D.F., MEXICO
Coauthors: Héctor Méndez-Lango, Guillermo Sienra-Loera
Let F(z)=z2-2conj(z) and denote by K the set of points whose orbit is bounded. By conjugation with a geometrical model of a map in a triangle we show that F restricted to K has positive topological entropy, is transitive, and the set of periodic points is dense. Also, K has positive area and in its complement, F behaves as g(z)=z2 outside the unit circle. Remarks are made of the dynamics of the more general map F(z)=z2-2aconj(z) where a is a complex number.
Date received: February 27, 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-84.