RT Journal Article T1 Parrondo´s paradox for homeomorphisms A1 Gasull, A. A1 Hernández Corbato, Luis A1 Ruiz del Portal, Francisco R. AB 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. PB Cambridge University Press SN 0308-2105 YR 2021 FD 2021-06-16 LK https://hdl.handle.net/20.500.14352/7231 UL https://hdl.handle.net/20.500.14352/7231 LA eng DS Docta Complutense RD 10 abr 2025