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May 2018 On Constructing Chaotic Maps with a Prescribed Probability Distribution
Peter M. Uhl, Hannah Bohn, Noah H. Rhee
Missouri J. Math. Sci. 30(1): 77-84 (May 2018). DOI: 10.35834/mjms/1534384957

Abstract

In this paper we discuss how to construct piecewise linear chaotic maps with a prescribed probability distribution on a finite number of open intervals of equal length that form a partition of the unit interval. The idea and method of how to find such a map are given in [3]. But a formal proof is not given. In this paper we provide a formal proof.

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Peter M. Uhl. Hannah Bohn. Noah H. Rhee. "On Constructing Chaotic Maps with a Prescribed Probability Distribution." Missouri J. Math. Sci. 30 (1) 77 - 84, May 2018. https://doi.org/10.35834/mjms/1534384957

Information

Published: May 2018
First available in Project Euclid: 16 August 2018

zbMATH: 06949052
MathSciNet: MR3844393
Digital Object Identifier: 10.35834/mjms/1534384957

Subjects:
Primary: 37A05
Secondary: 47B99

Rights: Copyright © 2018 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.30 • No. 1 • May 2018
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