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

Anna Cima; Armengol Gasull; Victor Manosa

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

机译：非双曲不动点稳定性的PARRONDO动态悖论

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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.

机译：我们表明，对于周期性非自治离散动力系统，即使每个自治关联动力系统的公共不动点都是推斥子，该不动点也可以成为整个系统的局部吸引子，从而引起帕隆多动力型悖论。

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来源
《Discrete and continuous dynamical systems》 |2018年第2期|889-904|共16页
作者
Anna Cima; Armengol Gasull; Victor Manosa;
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作者单位

Departament de Matematiques, Universitat Autonoma de Barcelona Facultat de Ciencies, 08193 Bellaterra, Spain;

Departament de Matematiques, Universitat Autonoma de Barcelona Facultat de Ciencies, 08193 Bellaterra, Spain;

Departament de Matematiques, Universitat Politecnica de Catalunya Colom 1, 08222 Terrassa, Spain;

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正文语种 eng
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关键词
Periodic discrete dynamical systems; non-hyperbolic points; local and global asymptotic stability; Parrondo's dynamic paradox;

机译：周期性离散动力系统;非双曲点;局部和全局渐近稳定性;帕龙多的动态悖论;

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

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