Dynamic Parrondo's paradox

被引：35

作者：

Canovas, J. S.

Linero, A.

Peralta-Salas, D.

机构：

[1] Univ Complutense Madrid, Dept Fis Teor 2, E-28040 Madrid, Spain

[2] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Cartagena 30203, Spain

[3] Univ Murcia, Dept Matemat, Murcia 30100, Spain

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2006年 / 218卷 / 02期

关键词：

chaos; one-dimensional dynamics; composition of maps; turbulence; Parrondo's paradox;

D O I：

10.1016/j.physd.2006.05.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is focused on studying Parrondo's paradox in non-linear dynamics, specifically how the periodic combination of the individual maps f and g 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 circle g or g circle 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. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：177 / 184

页数：8

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