Atlas home || Conferences | Abstracts | about Atlas

Spring General Topology & Dynamic Systems Conference
March 16-19, 2000
University of the Incarnate Word and The University of Texas at San Antonio
San Antonio, TX, USA

View Abstracts
Conference Homepage

Interval maps and nonsymmetric Lorenz attractors
by
Clark Robinson
Northwestern University

The (geometric) Lorenz attractor is analyzed my means of a one-dimensional Poincare map. For nonsymmetric equations, the one-dimensional map can be increasing on one side and decreasing on the other side. Such maps have more complicated dynamics than ones with the same monotonicity on both sides, but have been studied by Li and Yorke, Morales and Pujals, Byers, and Choi. We discuss these one-dimensional maps and the bifurcation to a nonsymmetric Lorenz attractor.

http://math.nwu.edu/~clark/preprints/lor3/index.html

Date received: February 1, 2000

Copyright © 2000 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 # cady-23.