Periodic sequences of simple maps can support chaos

Jose S. Cánovas

Physica A: Statistical Mechanics and its Applications, 2017, vol. 466, issue C, 153-159

Abstract: In this paper, we explore the Parrondo’s paradox when several dynamically simple maps are combined in a periodic way, producing chaotic dynamics. We show that the paradox is not commutative, that is, it depends on the way that the maps are iterated. We also see that the paradox happens more frequently when the number of maps that we iterate increases.

Keywords: Dynamical systems; Switched systems; Chaos; Simplicity; Lyapunov exponents (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:466:y:2017:i:c:p:153-159

DOI: 10.1016/j.physa.2016.08.074

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