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Uniform Convergence and Dynamical Behavior of a Discrete Dynamical System

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DOI: 10.4236/jamp.2015.37093    4,030 Downloads   4,426 Views   Citations
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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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The authors declare no conflicts of interest.

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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.


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