Parrondo's paradox for homoeomorphisms
We construct two planar homoeomorphisms 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...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:267125 |
| Acceso en línea: | https://ddd.uab.cat/record/267125 https://dx.doi.org/urn:doi:10.1017/prm.2021.28 |
| Access Level: | acceso abierto |
| Palabra clave: | Dynamical Parrondo's paradox Fixed points Local and global asymptotic stability Random dynamical systems |
| Sumario: | We construct two planar homoeomorphisms 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 > 2 and proves for first time the appearance of the dynamical Parrondo's paradox in odd dimensions. |
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