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...

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Autores: Cimà, Anna|||0000-0003-0256-518X, Gasull, Armengol|||0000-0002-1719-8231, Mañosa Fernández, Víctor|||0000-0002-5082-3334
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
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spelling A dynamic Parrondo's paradox for continuous seasonal systemsCimà, Anna|||0000-0003-0256-518XGasull, Armengol|||0000-0002-1719-8231Mañosa Fernández, Víctor|||0000-0002-5082-3334Continuous dynamical systems with seasonalityNon-hyperbolic critical pointsLocal asymptotic stabilityParrondo's dynamic paradoxWe 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. 22020-01-0120202020-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/228115https://dx.doi.org/urn:doi:10.1007/s11071-020-05656-wreponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-PMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 DPI2016-77407-PAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-388open accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2281152026-06-06T12:50:31Z
dc.title.none.fl_str_mv A dynamic Parrondo's paradox for continuous seasonal systems
title A dynamic Parrondo's paradox for continuous seasonal systems
spellingShingle A dynamic Parrondo's paradox for continuous seasonal systems
Cimà, Anna|||0000-0003-0256-518X
Continuous dynamical systems with seasonality
Non-hyperbolic critical points
Local asymptotic stability
Parrondo's dynamic paradox
title_short A dynamic Parrondo's paradox for continuous seasonal systems
title_full A dynamic Parrondo's paradox for continuous seasonal systems
title_fullStr A dynamic Parrondo's paradox for continuous seasonal systems
title_full_unstemmed A dynamic Parrondo's paradox for continuous seasonal systems
title_sort A dynamic Parrondo's paradox for continuous seasonal systems
dc.creator.none.fl_str_mv Cimà, Anna|||0000-0003-0256-518X
Gasull, Armengol|||0000-0002-1719-8231
Mañosa Fernández, Víctor|||0000-0002-5082-3334
author Cimà, Anna|||0000-0003-0256-518X
author_facet Cimà, Anna|||0000-0003-0256-518X
Gasull, Armengol|||0000-0002-1719-8231
Mañosa Fernández, Víctor|||0000-0002-5082-3334
author_role author
author2 Gasull, Armengol|||0000-0002-1719-8231
Mañosa Fernández, Víctor|||0000-0002-5082-3334
author2_role author
author
dc.subject.none.fl_str_mv Continuous dynamical systems with seasonality
Non-hyperbolic critical points
Local asymptotic stability
Parrondo's dynamic paradox
topic Continuous dynamical systems with seasonality
Non-hyperbolic critical points
Local asymptotic stability
Parrondo's dynamic paradox
description 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.
publishDate 2020
dc.date.none.fl_str_mv 2
2020-01-01
2020
2020-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/228115
https://dx.doi.org/urn:doi:10.1007/s11071-020-05656-w
url https://ddd.uab.cat/record/228115
https://dx.doi.org/urn:doi:10.1007/s11071-020-05656-w
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-77278-P
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 DPI2016-77407-P
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-388
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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