Axioms (May 2021)

Parrondo’s Paradox for Tent Maps

  • Jose S. Cánovas

DOI
https://doi.org/10.3390/axioms10020085
Journal volume & issue
Vol. 10, no. 2
p. 85

Abstract

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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.

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