Chaotic dynamics of some rational maps

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February 2005, 12(2): 363-375. doi: 10.3934/dcds.2005.12.363

Chaotic dynamics of some rational maps

Cezar Joiţa ^1, , William O. Nowell ^2, and Pantelimon Stănică ^2,

1.	Department of Mathematics, Lehigh University, Bethlehem, PA 18015, United States
2.	Department of Mathematics, Auburn University Montgomery, Montgomery, AL 36124, United States, United States

Received August 2003 Revised July 2004 Published December 2004

Abstract
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The goal of this paper is to analyze the dynamics and the Devaney-chaotic behavior of some classes of real rational functions. A key element is the description of the pull-backs of the set of points where the denominator has a zero. The kneading theory developed by Milnor and Thurston is applied to this set in order to establish topological conjugacy between some of these classes.

Keywords: Chaotic dynamics, orbits, repeller, fixed points, attractor, topological conjugacy..

Mathematics Subject Classification: 37D45, 37C25, 37C7.

Citation: Cezar Joiţa, William O. Nowell, Pantelimon Stănică. Chaotic dynamics of some rational maps. Discrete & Continuous Dynamical Systems - A, 2005, 12 (2) : 363-375. doi: 10.3934/dcds.2005.12.363

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