Generalized Henon equations with delay
by
Judy Kennedy
University of Delaware
Coauthors: James Yorke

We investigate a difference equation of the form

x(n)=q(x(n-k))+g(x(n-1), ... , x(n-m)),

where k is an integer between 1 and m, using the tools of chaotic dynamical systems and cohomology. The map q maps the unit interval across itself at least twice and g restricted to the unit m-cube is 'small'. We show that this equation has a two-shift.

Date received: February 25, 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-59.