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
.