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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Autor*in:	Jose S. Cánovas [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	Parrondo’s paradox tent maps topological entropy piecewise linear maps

Übergeordnetes Werk:	In: Axioms - MDPI AG, 2012, 10(2021), 2, p 85
Übergeordnetes Werk:	volume:10 ; year:2021 ; number:2, p 85

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/axioms10020085

Katalog-ID:	DOAJ020116187

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callnumber-first	Q - Science
author	Jose S. Cánovas
spellingShingle	Jose S. Cánovas misc QA1-939 misc Parrondo’s paradox misc tent maps misc topological entropy misc piecewise linear maps misc Mathematics Parrondo’s Paradox for Tent Maps
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topic_title	QA1-939 Parrondo’s Paradox for Tent Maps Parrondo’s paradox tent maps topological entropy piecewise linear maps
topic	misc QA1-939 misc Parrondo’s paradox misc tent maps misc topological entropy misc piecewise linear maps misc Mathematics
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title	Parrondo’s Paradox for Tent Maps
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title_full	Parrondo’s Paradox for Tent Maps
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title_sort	parrondo’s paradox for tent maps
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title_auth	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.
abstractGer	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.
abstract_unstemmed	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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title_short	Parrondo’s Paradox for Tent Maps
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