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 we als...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/327971 |
| Acesso em linha: | https://hdl.handle.net/2117/327971 https://dx.doi.org/10.1007/s11071-020-05656-w |
| Access Level: | acceso abierto |
| Palavra-chave: | Differentiable dynamical systems Continuous dynamical systems with seasonality Non-hyperbolic critical points Local asymptotic stability Parrondo's dynamic paradox Sistemes dinàmics diferenciables Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory Classificació AMS::34 Ordinary differential equations::34D Stability theory Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics |
| Resumo: | 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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