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

Anna Cima; Armengol Gasull; Víctor Mañosa

doi:10.3934/dcds.2018038

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

Anna Cima, Armengol Gasull, Víctor Mañosa

Research output: Contribution to journal › Article › Research › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	889-904
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	38
Issue number	2
DOIs	https://doi.org/10.3934/dcds.2018038
Publication status	Published - 1 Feb 2018

Keywords

Local and global asymptotic stability
Non-hyperbolic points
Parrondo's dynamic paradox
Periodic discrete dynamical systems

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title = "Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points",

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.",

keywords = "Local and global asymptotic stability, Non-hyperbolic points, Parrondo's dynamic paradox, Periodic discrete dynamical systems",

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