Parrondo’s Paradox for Tent Maps

Parrondo’s Paradox for Tent Maps

In this paper, we study the dynamic Parrondo’s paradox for the well-known family of tent maps. We prove that this paradox is impossible when we consider piecewise linear maps with constant slope. In addition, we analyze the paradox “simple + simple = complex” when a tent map with constant slope and...

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Bibliographic Details
Published in:Axioms Vol. 10; no. 2; p. 85
Main Author: Cánovas, Jose S.
Format: Journal Article
Language:English
Published: Basel MDPI AG 2021
Subjects:
Accuracy
Algorithms
Conflicts of interest
Entropy
Paradoxes
Parrondo’s paradox
piecewise linear maps
tent maps
topological entropy
Online Access:Get full text
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Summary:In this paper, we study the dynamic Parrondo’s paradox for the well-known family of tent maps. We prove that this paradox is impossible when we consider piecewise linear maps with constant slope. In addition, we analyze the paradox “simple + simple = complex” when a tent map with constant slope and a piecewise linear homeomorphism with two different slopes are considered.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms10020085