Uniform Convergence and Dynamical Behavior of a Discrete Dynamical System

DOI: 10.4236/jamp.2015.37093   PDF   HTML   XML   4,195 Downloads   4,639 Views   Citations

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 .

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Sharma, P. (2015) Uniform Convergence and Dynamical Behavior of a Discrete Dynamical System. Journal of Applied Mathematics and Physics, 3, 766-770. doi: 10.4236/jamp.2015.37093.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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