Atlas home || Conferences | Abstracts | about Atlas

Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

View Abstracts
Conference Homepage

Real saddle-node bifurcation from the complex viewpoint
by
Rodrigo Perez
Indiana University Purdue University at Indianapolis
Coauthors: Michal Misiurewicz

During a saddle-node bifurcation for real analytic interval maps, a pair of fixed points, attracting and repelling, collide and disappear. From the complex point of view, they do not disappear, but just become complex conjugate. The question is whether those new complex fixed points are attracting or repelling. We prove that this depends on the Schwarzian derivative of the map. If the Schwarzian derivative is positive, both fixed points are attracting, if it is negative, they are repelling.

Date received: February 28, 2008

Copyright © 2008 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 # cawy-15.