PARRONDO'S DYNAMIC PARADOX FOR THE STABILITY OF NON-HYPERBOLIC FIXED POINTS

被引：3

作者：

Cima, Anna ^{[1
]}

Gasull, Armengol ^{[1
]}

Manosa, Victor ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, Fac Ciencies, Bellaterra 08193, Spain

[2] Univ Politecn Cataluna, Dept Matemat, Colom 1, Terrassa 08222, Spain

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2018年 / 38卷 / 02期

关键词：

Periodic discrete dynamical systems; non-hyperbolic points; local and global asymptotic stability; Parrondo's dynamic paradox; NORMAL FORMS; DIFFERENCE-EQUATIONS; POPULATION BIOLOGY; PERIODIC-ORBITS; MAPS; ATTRACTORS; DISCRETE; SYSTEMS; MODELS;

D O I：

10.3934/dcds.2018038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that for periodic non-autonomous discrete dynamical systems, even when a common fixed point for each of the autonomous associated dynamical systems is repeller, this fixed point can became a local attractor for the whole system, giving rise to a Parrondo's dynamic type paradox.

引用

页码：889 / 904

页数：16

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