2026-06-26T11:08:53Zhttps://docta.ucm.es/rest/oai/request

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Gasull, A. Hernández Corbato, Luis Ruiz del Portal, Francisco R. 2023-06-17T08:28:33Z 2023-06-17T08:28:33Z 2021-06-16 0308-2105 10.1017/prm.2021.28 https://hdl.handle.net/20.500.14352/7231 https://doi.org/10.1017/prm.2021.28 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. eng https://creativecommons.org/licenses/by/3.0/es/ open access Atribución 3.0 España Parrondo´s paradox for homeomorphisms journal article