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The 1997 Spring Topology and Dynamics Conference
April 10-12, 1997
University of Southwestern Louisiana
Lafayette, LA, USA

Organizers
Bradd Clark, Kathleen Lopez, Vic Schneider, Roger Waggoner, Thelma West

View Abstracts

The Foundations of the Theory of Monotone Semiflows
by
Elliott Pearl
York University

The theory of monotone semiflows has been developed by Hirsch, Matano, and Smith and Thieme.

The theory involves imposing order preserving conditions on a continuous-time dynamical system to obtain structure and stability results. In this talk, I will discuss the current order preserving conditions and propose new conditions that suffice to develop most of the existing theory. I will describe set-theoretic examples to show that these new properties are significantly weaker than the currently studied properties (strong monotonicity and strong order preserving property).

Date received: March 2, 1997

Copyright © 1997 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 # caam-41.