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

Anna Cima, Armengol Gasull, Víctor Mañosa

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (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 languageEnglish
Pages (from-to)889-904
JournalDiscrete and Continuous Dynamical Systems
Volume38
Issue number2
DOIs
Publication statusPublished - 1 Feb 2018

Keywords

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

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