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17th "Summer" Conference on Topology and Applications
July 1-4, 2002
University of Auckland
Auckland, New Zealand

Organizers
David Gauld (University of Auckland), Sina Greenwood (University of Auckland), David McIntyre (University of Auckland), Warren Moors (Waikato University), Sidney Morris (University of South Australia), Vladimir Pestov (Victoria University Wellington), Ivan Reilly (University of Auckland), Des Robbie (University of Melbourne)

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High Dimensional Horseshoes from simple problems
by
James A. Yorke
University of Maryland
Coauthors: Judy Kennedy (University of Delaware)

Scalar difference equations (with multiple time lags) lead to chaos as readily as do one-dimensional maps, but showing that there is chaos can be far more difficult. Such maps are of the form xn = F(xn-1, ..., xn-k) where x is a scalar. This talk discusses these difficulties and how we overcome them.

Date received: June 3, 2002

Copyright © 2002 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 # cait-34.