The Conley attractors of an iterated function system

Authors

  • M. F. Barnsley Australian National University, Canberra, ACT, Australia
  • A. Vince University of Florida

Keywords:

iterated function system, attractor-repeller.

Abstract

We investigate the topological and metric properties of attractors of an iterated function system (IFS) whose functions may not be contractive. We focus, in particular, on invertible IFSs of nitely many maps on a com-pact metric space. We rely on ideas of Kieninger and McGehee and Wiandt, restricted to what is, in many ways, a simpler setting, but focused on a special type of attractor, namely point-fibred invariant sets. This allows us to give short proofs of some of the key ideas. 10.1017/S0004972713000348

Author Biography

A. Vince, University of Florida

professor Department of Mathematics

Published

2013-08-11

Issue

Vol. 88 No. 2 (2013)

Section

Articles
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