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has been cited by the following article:
TITLE: Uniform Convergence and Dynamical Behavior of a Discrete Dynamical System
AUTHORS: Puneet Sharma
KEYWORDS: Uniform Convergence, Weakly Mixing, Topological Mixing
JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.7, June 30, 2015
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 are preserved in .