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

Author
Cima, A.; Gasull, A.; Mañosa, V.
Type of activity
Journal article
Journal
Discrete and continuous dynamical systems. Series A
Date of publication
2018-02
Volume
38
Number
2
First page
889
Last page
904
DOI
https://doi.org/10.3934/dcds.2018038 Open in new window
Project funding
Rate-dependent hysteresis: modeling, analysis and identification, with applications to magnetorheological dampers
Repository
http://hdl.handle.net/2117/112706 Open in new window
URL
http://www.aimsciences.org/article/doi/10.3934/dcds.2018038 Open in new window
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
Citation
Cima, A., Gasull, A., Mañosa, V. Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points. "Discrete and continuous dynamical systems. Series A", Febrer 2018, vol. 38, núm. 2, p. 889-904.
Keywords
Local and global stability, Non-hyperbolic points, Parrondo's dynamic paradox, Periodic discrete systems
Group of research
CoDAlab - Control, Dynamics and Applications

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