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arXiv · 1701.05816

Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points

Anna Cima·Armengol Gasull·Víctor Mañosa
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Abstract

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.

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Anna Cima, Armengol Gasull, Víctor Mañosa. 2017-01-20. Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points. https://doi.org/10.3934/dcds.2018038

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