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...

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Autores: Gasull, Armengol|||0000-0002-1719-8231, Hernández-Corbato, L.|||0000-0002-4311-0002, Ruiz Del Portal, F. R.|||0000-0001-5476-0193
Tipo de documento: artigo
Data de publicação:2022
País:España
Recursos:Universitat Autònoma de Barcelona
Repositório:Dipòsit Digital de Documents de la UAB
Idioma:inglês
OAI Identifier:oai:ddd.uab.cat:267125
Acesso em linha:https://ddd.uab.cat/record/267125
https://dx.doi.org/urn:doi:10.1017/prm.2021.28
Access Level:Acceso aberto
Palavra-chave:Dynamical Parrondo's paradox
Fixed points
Local and global asymptotic stability
Random dynamical systems
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spelling Parrondo's paradox for homoeomorphismsGasull, Armengol|||0000-0002-1719-8231Hernández-Corbato, L.|||0000-0002-4311-0002Ruiz Del Portal, F. R.|||0000-0001-5476-0193Dynamical Parrondo's paradoxFixed pointsLocal and global asymptotic stabilityRandom dynamical systemsWe 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. 22022-01-0120222022-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/267125https://dx.doi.org/urn:doi:10.1017/prm.2021.28reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengAgencia Estatal de Investigación https://doi.org/10.13039/501100011033 PGC2018-098321-B-I00Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2019-104658GB-I00Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2671252026-06-06T12:50:31Z
dc.title.none.fl_str_mv Parrondo's paradox for homoeomorphisms
title Parrondo's paradox for homoeomorphisms
spellingShingle Parrondo's paradox for homoeomorphisms
Gasull, Armengol|||0000-0002-1719-8231
Dynamical Parrondo's paradox
Fixed points
Local and global asymptotic stability
Random dynamical systems
title_short Parrondo's paradox for homoeomorphisms
title_full Parrondo's paradox for homoeomorphisms
title_fullStr Parrondo's paradox for homoeomorphisms
title_full_unstemmed Parrondo's paradox for homoeomorphisms
title_sort Parrondo's paradox for homoeomorphisms
dc.creator.none.fl_str_mv Gasull, Armengol|||0000-0002-1719-8231
Hernández-Corbato, L.|||0000-0002-4311-0002
Ruiz Del Portal, F. R.|||0000-0001-5476-0193
author Gasull, Armengol|||0000-0002-1719-8231
author_facet Gasull, Armengol|||0000-0002-1719-8231
Hernández-Corbato, L.|||0000-0002-4311-0002
Ruiz Del Portal, F. R.|||0000-0001-5476-0193
author_role author
author2 Hernández-Corbato, L.|||0000-0002-4311-0002
Ruiz Del Portal, F. R.|||0000-0001-5476-0193
author2_role author
author
dc.subject.none.fl_str_mv Dynamical Parrondo's paradox
Fixed points
Local and global asymptotic stability
Random dynamical systems
topic Dynamical Parrondo's paradox
Fixed points
Local and global asymptotic stability
Random dynamical systems
description 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.
publishDate 2022
dc.date.none.fl_str_mv 2
2022-01-01
2022
2022-01-01
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/267125
https://dx.doi.org/urn:doi:10.1017/prm.2021.28
url https://ddd.uab.cat/record/267125
https://dx.doi.org/urn:doi:10.1017/prm.2021.28
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 PGC2018-098321-B-I00
Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2019-104658GB-I00
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/4.0/
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://creativecommons.org/licenses/by-nc-nd/4.0/
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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