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Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

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Discrete Models of Dynamical Systems
by
Ronald E. Mickens
Clark Atlanta University

Dynamical systems modeled by differential equations are often discretized for purposes of numerical computation of their solutions. We show that this process can lead to classes of discrete equations, each of which gives entirely different solution behaviors. Thus, in addition to chaotic behavior of the solutions to individual equations, the different classes of discrete models also give solutions that depend in a sensitive manner on how they are constructed.

Date received: May 4, 1999

Copyright © 1999 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 # cacr-84.