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- W2078962600 abstract "In this paper, we show that a generalized form of Parrondo's paradoxical game can be applied to discrete systems, working out the logistic map as a concrete example, to generate stable orbits. Written in Parrondo's terms, this reads: chaos 1 + chaos 2 + ⋯ + chaos N = order, where chaos i , i = 1, 2, …, N, are denoted as the chaotic behaviors generated by N values of the parameter control, and by order one understands some stable behavior. The numerical results are sustained by quantitative dynamics generated by Parrondo's game. The implementation of the generalized Parrondo's game is realized here via the parameter switching (PS) algorithm for continuous-time systems [Danca, 2013] adapted to the logistic map. Some related results for more general maps on averaging, which represent discrete analogies of the PS method for ODE, are also presented and discussed." @default.
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- W2078962600 date "2014-01-01" @default.
- W2078962600 modified "2023-10-17" @default.
- W2078962600 title "Generalized Form of Parrondo's Paradoxical Game with Applications to Chaos Control" @default.
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- W2078962600 doi "https://doi.org/10.1142/s0218127414500084" @default.
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