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Can two chaotic systems give rise to order?

J. Almeida·D. Peralta-Salas·M. Romera
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Abstract

The recently discovered Parrondo's paradox claims that two losing games can result, under random or periodic alternation of their dynamics, in a winning game: "losing+losing=winning". In this paper we follow Parrondo's philosophy of combining different dynamics and we apply it to the case of one-dimensional quadratic maps. We prove that the periodic mixing of two chaotic dynamics originates an ordered dynamics in certain cases. This provides an explicit example (theoretically and numerically tested) of a different Parrondian paradoxical phenomenon: "chaos+chaos=order"

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J. Almeida, D. Peralta-Salas, M. Romera. 2004-11-29. Can two chaotic systems give rise to order?. https://doi.org/10.1016/j.physd.2004.10.003

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