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.

引用

页码：124 / 132

页数：9

共 26 条

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