Can two chaotic systems give rise to order?

被引：75
作者：
Almeida, J
Peralta-Salas, D [1 ]
Romera, M
机构：
[1] Univ Complutense Madrid, Fac Ciencias Fis, Dept Fis Teor 1, E-28040 Madrid, Spain
[2] Univ Complutense Madrid, Fac Ciencias Fis, Dept Fis Teor 2, E-28040 Madrid, Spain
[3] CSIC, Inst Fis Aplicada, E-28006 Madrid, Spain
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2005年 / 200卷 / 1-2期
关键词：
Parrondo's paradox; chaotic dynamics; stable periodic orbit;
D O I：
10.1016/j.physd.2004.10.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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". (C) 2004 Elsevier B.V All rights reserved.
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收藏
页码：124 / 132
页数：9
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