%0 Journal Article
%T Uniform Convergence and Dynamical  Behavior of a Discrete Dynamical System
%A Puneet Sharma
%J Journal of Applied Mathematics and Physics
%P 766-770
%@ 2327-4379
%D 2015
%I Scientific Research Publishing
%R 10.4236/jamp.2015.37093
%X <p class=\"MsoNormal\">
	<span lang=\"EN-US\">In this paper we study the dynamical
behavior of a system <img src=\"Edit_5ab0e615-5076-4dd8-b2ef-63a016129890.png\" alt=\"\" /><v:shapetype id=\"_x0000_t75\" coordsize=\"21600,21600\" o:spt=\"75\" o:preferrelative=\"t\" path=\"m@4@5l@4@11@9@11@9@5xe\" filled=\"f\" stroked=\"f\">
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</xml><![endif]-->&nbsp;approximated uniformly
by a sequence <img src=\"Edit_cf841c55-7906-4c60-8e5f-4176260d82ea.png\" alt=\"\" /><v:shape id=\"_x0000_i1026\" type=\"#_x0000_t75\" style=\"width:12.75pt;height:15pt;\" o:ole=\"\">
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</xml><![endif]-->&nbsp;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 <img src=\"Edit_6e69cb5b-7872-4767-9998-e7eba1a98327.png\" alt=\"\" /><v:shape id=\"_x0000_i1027\" type=\"#_x0000_t75\" style=\"width:12.75pt;height:15pt;\" o:ole=\"\">
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%K Uniform Convergence
%K Weakly Mixing
%K Topological Mixing
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=57635