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A characterization of w-limit sets of tent maps
by
Andy Barwell
University of Birmingham
For the interval I=[0, 1] and a tent map f:I→ I, the w-limit set of x ∈ I is the set of all limit points of the orbit of x. Here we present a characterization which relies heavily upon symbolic dynamics, and in so doing give some insight not only into the structure of w-limit sets but also of the symbol space of itineraries for the tent map.
Date received: May 15, 2008
Copyright © 2008 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 # cawr-10.