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

2017/01/20 by Anna Cima, Armengol Gasull, Víctor Mañosa · 1 citation
Mathematics · #math.DS #msc:37C05 #msc:37C25 #msc:37C75 #msc:39A30

paper · pdf · doi:10.3934/dcds.2018038

published as Discrete and Continuous Dynamical Systems A 38 (2) (2018), 889-904 · 21 pages

arxiv created 2017/01/20 · arxiv updated 2018/01/15

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.

Cited by

• Chaos and Parrondo's paradox: An overview