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Parrondo's paradox for homoeomorphisms

被引：0
|
作者：
Gasull, A. [1 ,2 ]
Hernandez-Corbato, L. [3 ,4 ]
Ruiz del Portal, F. R. [3 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, Edifici Cc, Barcelona 08193, Spain
[2] Ctr Recerca Matemat, Edifici Cc,Campus Bellaterra, Barcelona 08193, Spain
[3] Univ Complutense Madrid, Dept Algebra Geometria & Topol, Madrid, Spain
[4] CSIC UAM UCM UC3M, Inst Ciencias Matemat, Madrid, Spain
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2022年 / 152卷 / 04期
关键词：
Dynamical Parrondo's paradox; fixed points; local and global asymptotic stability; random dynamical systems; DIFFERENCE-EQUATIONS; ATTRACTORS; DISCRETE;
D O I：
10.1017/prm.2021.28
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct two planar homoeomorphisms f and g for which the origin is a globally asymptotically stable fixed point whereas for f o g and g o f the origin is a global repeller. Furthermore, the origin remains a global repeller for the iterated function system generated by f and g where each of the maps appears with a certain probability. This planar construction is also extended to any dimension >2 and proves for first time the appearance of the dynamical Parrondo's paradox in odd dimensions.
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页码：817 / 825
页数：9
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