Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points
We show that for periodic non-autonomous discrete dynamical systems, even when a common fixed point for each of the autonomous associated dynamical systems is repeller, this fixed point can became a local attractor for the whole system, giving rise to a Parrondo's dynamic type paradox.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:199342 |
| Acceso en línea: | https://ddd.uab.cat/record/199342 https://dx.doi.org/urn:doi:10.3934/dcds.2018038 |
| Access Level: | acceso abierto |
| Palabra clave: | Local and global asymptotic stability Non-hyperbolic points Parrondo's dynamic paradox Periodic discrete dynamical systems |
| Sumario: | We show that for periodic non-autonomous discrete dynamical systems, even when a common fixed point for each of the autonomous associated dynamical systems is repeller, this fixed point can became a local attractor for the whole system, giving rise to a Parrondo's dynamic type paradox. |
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