Chaotic dynamics of some rational maps

Cezar Joiţa; William O. Nowell; Pantelimon Stănică

doi:10.3934/dcds.2005.12.363

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2005, Volume 12, Issue 2: 363-375. Doi: 10.3934/dcds.2005.12.363

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Chaotic dynamics of some rational maps

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

Received: July 31, 2003

Revised: June 30, 2004

Published: January 2005

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Abstract

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.

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Mathematics Subject Classification: 37D45, 37C25, 37C70.

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