%0 Journal Article
%A Gasull, A.
%A Hernández Corbato, Luis
%A Ruiz del Portal, Francisco R.
%T Parrondo´s paradox for homeomorphisms
%D 2021
%@ 0308-2105
%U https://hdl.handle.net/20.500.14352/7231
%X We construct two planar homeomorphisms f and g for which the origin is a globally asymptotically stable fixed point whereas for f ◦ g and g ◦ f the origin is a global repeller.Furthermore, the origin remains a global repeller for the iterated function system generated by f and g 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.
%~