Article citationsMore>>

Abu-Saris, R. and Al-Hami, K. (2006) Uniform Convergence and Chaotic Behaviour. Nonlinear Analysis: Theory, Methods & Applications, 65, 933-937. http://dx.doi.org/10.1016/j.na.2005.04.056

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 .