Article ID Journal Published Year Pages File Type
1897469 Physica D: Nonlinear Phenomena 2006 8 Pages PDF
Abstract

This paper is focused on studying Parrondo’s paradox in non-linear dynamics, specifically how the periodic combination of the individual maps ff and gg can give rise to chaos or order. We construct dynamical systems exhibiting the paradox for several notions of chaos derived from topological dynamics. The effect of altering the order of the combination, i.e. considering f∘gf∘g or g∘fg∘f, is analyzed, as well as the robustness of the Parrondo effect under small perturbations. Conditions for avoiding Parrondian dynamics are also obtained, placing special emphasis on the notion of chaos given by turbulence.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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