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Chaotic dynamics of some rational maps

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


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