Microworld: Periodic Points of a Certain Discrete Dynamical System
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Author: Samad Mortabit and Juan Estrada

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One of the manifestations of chaotic behavior in discrete dynamical systems is the existence of a dense set of periodic points. In this short paper and in the context of some specific classes of one-dimensional discrete dynamical systems, we address the following question: given a periodic point, what is its period? To that end, we establish a general result and then proceed with its refinement in various ways. One of the most attractive aspects of this work is the connection we made to modern algebra and number theory. In addition, interactive explorations are included to visualize and illustrate the main ideas.

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Periodic Points of Certain Discrete Dynamical Systems
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Interactive Web Article:
Periodic Points of a Certain Discrete Dynamical System

Note: This Microworld requires Version 2.007 or later, dated Sept 26, 2002. Please download and use a player (Mathwright32 Reader) at least as recent as that.