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

Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor

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Cima Mollet, Anna

Gasull Embid, Armengol

Mañosa Fernández, Víctor

Document typeWorking paper

Date issued2017-01-20

Rights accessOpen Access

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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CitationCima, A., Gasull, A., Mañosa, V. "Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points". 2017.

Is part ofarXiv:1701.05816 [math.DS]

URIhttp://hdl.handle.net/2117/100448

Publisher versionhttps://arxiv.org/abs/1701.05816

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