Uniform Convergence and Dynamical Behavior of a Discrete Dynamical System

Puneet Sharma

Administrative Building, Indian Institute of Technology, Jodhpur, Rajasthan, India.

DOI: 10.4236/jamp.2015.37093                

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 .

Keywords

Uniform Convergence, Weakly Mixing, Topological Mixing

Conflicts of Interest

The authors declare no conflicts of interest.

References

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