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Parrondo’s Paradox for Tent Maps

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 06 May 2021 English Publisher:MDPI AGJournal:Axioms, volume 10, page 85 (eissn: 2075-1680, Copyright policy )
Authors: Jose S. Cánovas;

doi: 10.3390/axioms10020085

Parrondo’s Paradox for Tent Maps

Abstract

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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Keywords

tent maps, topological entropy, QA1-939, piecewise linear maps, Parrondo’s paradox; tent maps; topological entropy; piecewise linear maps, Parrondo’s paradox, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
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