Parrondo's paradox for homeomorphisms
Dynamical Systems
2020-10-27 v1
Abstract
We construct two planar homeomorphisms and for which the origin is a globally asymptotically stable fixed point whereas for and the origin is a global repeller. Furthermore, the origin remains a global repeller for the iterated function system generated by and where each of the maps appears with a certain probability. This planar construction is also extended to any dimension greater than 2 and proves for first time the appearance of the Parrondo's dynamical paradox in odd dimensions.
Keywords
Cite
@article{arxiv.2010.12893,
title = {Parrondo's paradox for homeomorphisms},
author = {Armengol Gasull and Luis Hernández-Corbato and Francisco R. Ruiz del Portal},
journal= {arXiv preprint arXiv:2010.12893},
year = {2020}
}