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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Format: | Article |
Language: | English |
Published: |
MDPI AG
2021-05-01
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Series: | Axioms |
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Online Access: | https://www.mdpi.com/2075-1680/10/2/85 |
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. |
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ISSN: | 2075-1680 |