Strange nonchaotic attractors in Harper maps

We study the existence of strange nonchaotic attractors (SNA) in the family of Harper maps. We prove that for a set of parameters of positive measure, the map possesses a SNA. However, the set is nowhere dense. By changing the parameter arbitrarily small amounts, the attractor is a smooth curve and...

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Detalles Bibliográficos
Autores: Haro, Àlex, Puig i Sadurní, Joaquim
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2006
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/21865
Acceso en línea:https://hdl.handle.net/2445/21865
Access Level:acceso abierto
Palabra clave:Teoria quàntica
Teoria quàntica de camps
Relativitat especial (Física)
Quantum theory
Quantum field theory
Special relativity (Physics)
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spelling Strange nonchaotic attractors in Harper mapsHaro, ÀlexPuig i Sadurní, JoaquimTeoria quànticaTeoria quàntica de campsRelativitat especial (Física)Quantum theoryQuantum field theorySpecial relativity (Physics)We study the existence of strange nonchaotic attractors (SNA) in the family of Harper maps. We prove that for a set of parameters of positive measure, the map possesses a SNA. However, the set is nowhere dense. By changing the parameter arbitrarily small amounts, the attractor is a smooth curve and not a SNA.American Institute of Physics2006info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/21865Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: http://dx.doi.org/10.1063/1.2259821Chaos, 2006, vol. 16, núm. 3, p. 033127http://dx.doi.org/10.1063/1.2259821(c) American Institute of Physics, 2006info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/218652026-05-27T06:46:51Z
dc.title.none.fl_str_mv Strange nonchaotic attractors in Harper maps
title Strange nonchaotic attractors in Harper maps
spellingShingle Strange nonchaotic attractors in Harper maps
Haro, Àlex
Teoria quàntica
Teoria quàntica de camps
Relativitat especial (Física)
Quantum theory
Quantum field theory
Special relativity (Physics)
title_short Strange nonchaotic attractors in Harper maps
title_full Strange nonchaotic attractors in Harper maps
title_fullStr Strange nonchaotic attractors in Harper maps
title_full_unstemmed Strange nonchaotic attractors in Harper maps
title_sort Strange nonchaotic attractors in Harper maps
dc.creator.none.fl_str_mv Haro, Àlex
Puig i Sadurní, Joaquim
author Haro, Àlex
author_facet Haro, Àlex
Puig i Sadurní, Joaquim
author_role author
author2 Puig i Sadurní, Joaquim
author2_role author
dc.subject.none.fl_str_mv Teoria quàntica
Teoria quàntica de camps
Relativitat especial (Física)
Quantum theory
Quantum field theory
Special relativity (Physics)
topic Teoria quàntica
Teoria quàntica de camps
Relativitat especial (Física)
Quantum theory
Quantum field theory
Special relativity (Physics)
description We study the existence of strange nonchaotic attractors (SNA) in the family of Harper maps. We prove that for a set of parameters of positive measure, the map possesses a SNA. However, the set is nowhere dense. By changing the parameter arbitrarily small amounts, the attractor is a smooth curve and not a SNA.
publishDate 2006
dc.date.none.fl_str_mv 2006
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/21865
url https://hdl.handle.net/2445/21865
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: http://dx.doi.org/10.1063/1.2259821
Chaos, 2006, vol. 16, núm. 3, p. 033127
http://dx.doi.org/10.1063/1.2259821
dc.rights.none.fl_str_mv (c) American Institute of Physics, 2006
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Institute of Physics, 2006
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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