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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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On topologically significant chaotic sets
by
Piotr Oprocha
AGH University of Science and Technology, Krakow, Poland

The idea to define "chaos" by means of chaotic pairs originated from the well known paper by Li and Yorke "Period three implies chaos". Various extensions of the Li and Yorke definition were developed, e.g. dense chaos, generic chaos or extreme chaos. Notions cited above extend the definition of Li and Yorke by some additional assumptions which specify (in a topological sense) how a chaotic set is placed in the space.

The main aim of this talk is to present recent advances in the studies on the size of chaotic sets.

Date received: December 31, 2007

Copyright © 2007 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 # cawk-12.