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Journal of Applied Mathematics and Physics 2015

Uniform Convergence and Dynamical Behavior of a Discrete Dynamical System

DOI: 10.4236/jamp.2015.37093, PP. 766-770

Puneet Sharma

Keywords: Uniform Convergence, Weakly Mixing, Topological Mixing

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Abstract:

In this paper we study the dynamical behavior of a system $\"\"$ ？approximated uniformly by a sequence $\"\"$ ？of chaotic maps. We give examples to show that properties like sensitivity and denseness of periodic points need not be preserved under uniform convergence. We derive conditions under which some of the dynamical properties of the maps $\"\"$

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