A dynamic Parrondo's paradox for continuous seasonal systems
We show that planar continuous alternating systems, which can be used to model systems with seasonality, can exhibit a type of Parrondo's dynamic paradox, in which the stability of an equilibrium, common to all seasons is reversed for the global seasonal system. As a byproduct of our approach w...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:228115 |
| Acceso en línea: | https://ddd.uab.cat/record/228115 https://dx.doi.org/urn:doi:10.1007/s11071-020-05656-w |
| Access Level: | acceso abierto |
| Palabra clave: | Continuous dynamical systems with seasonality Non-hyperbolic critical points Local asymptotic stability Parrondo's dynamic paradox |
| Sumario: | We show that planar continuous alternating systems, which can be used to model systems with seasonality, can exhibit a type of Parrondo's dynamic paradox, in which the stability of an equilibrium, common to all seasons is reversed for the global seasonal system. As a byproduct of our approach we also prove that there are locally invertible orientation preserving planar maps that cannot be the time-1 flow map of any smooth planar vector field. |
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