Distinguishing quasiperiodic dynamics from chaos in short-time series

We propose a procedure to distinguish quasiperiodic from chaotic orbits in short-time series, which is based on the recurrence properties in phase space. The histogram of the return times in a recurrence plot is introduced to disclose the recurrence property consisting of only three peaks imposed by...

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Detalles Bibliográficos
Autores: Zou, Y., Pazó, Diego, Romano, M. C., Thiel, M., Kurths, J.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2007
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/386445
Acceso en línea:http://hdl.handle.net/10261/386445
Access Level:acceso abierto
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spelling Distinguishing quasiperiodic dynamics from chaos in short-time seriesZou, Y.Pazó, DiegoRomano, M. C.Thiel, M.Kurths, J.We propose a procedure to distinguish quasiperiodic from chaotic orbits in short-time series, which is based on the recurrence properties in phase space. The histogram of the return times in a recurrence plot is introduced to disclose the recurrence property consisting of only three peaks imposed by Slater’s theorem. Noise effects on the statistics are studied. Our approach is demonstrated to be efficient in recognizing regular and chaotic trajectories of a Hamiltonian system with mixed phase space.This work was supported by the International Helmholtz Institute for Supercomputational Physics (MWFK Land Brandenburg), SPP 1114 (DFG), and the Promotionskolleg Behavioral and Cognitive Dynamics (Excellence Programme, Potsdam University). D.P. acknowledges support by Ministerio de Educación y Cultura (Spain) through the Juan de la Cierva Programme and Grants Nos. BFM2003-07749-C05-03 and FIS2006-12253-C06-04.Peer reviewedAmerican Physical SocietyHelmholtz Virtual InstituteMinisterio de Educación y Cultura (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202520252007info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10261/386445reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttps://doi.org/10.1103/PhysRevE.76.016210Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3864452026-05-22T06:33:51Z
dc.title.none.fl_str_mv Distinguishing quasiperiodic dynamics from chaos in short-time series
title Distinguishing quasiperiodic dynamics from chaos in short-time series
spellingShingle Distinguishing quasiperiodic dynamics from chaos in short-time series
Zou, Y.
title_short Distinguishing quasiperiodic dynamics from chaos in short-time series
title_full Distinguishing quasiperiodic dynamics from chaos in short-time series
title_fullStr Distinguishing quasiperiodic dynamics from chaos in short-time series
title_full_unstemmed Distinguishing quasiperiodic dynamics from chaos in short-time series
title_sort Distinguishing quasiperiodic dynamics from chaos in short-time series
dc.creator.none.fl_str_mv Zou, Y.
Pazó, Diego
Romano, M. C.
Thiel, M.
Kurths, J.
author Zou, Y.
author_facet Zou, Y.
Pazó, Diego
Romano, M. C.
Thiel, M.
Kurths, J.
author_role author
author2 Pazó, Diego
Romano, M. C.
Thiel, M.
Kurths, J.
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Helmholtz Virtual Institute
Ministerio de Educación y Cultura (España)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
description We propose a procedure to distinguish quasiperiodic from chaotic orbits in short-time series, which is based on the recurrence properties in phase space. The histogram of the return times in a recurrence plot is introduced to disclose the recurrence property consisting of only three peaks imposed by Slater’s theorem. Noise effects on the statistics are studied. Our approach is demonstrated to be efficient in recognizing regular and chaotic trajectories of a Hamiltonian system with mixed phase space.
publishDate 2007
dc.date.none.fl_str_mv 2007
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/386445
url http://hdl.handle.net/10261/386445
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://doi.org/10.1103/PhysRevE.76.016210
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,198674

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