Isostables for Stochastic Oscillators

Thomas and Lindner [P. J. Thomas and B. Lindner, Phys. Rev. Lett. 113, 254101 (2014).], defined an asymptotic phase for stochastic oscillators as the angle in the complex plane made by the eigenfunction, having a complex eigenvalue with a least negative real part, of the backward Kolmogorov (or stoc...

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Authors: Pérez Cervera, Alberto, Lindner, Benjamin, Thomas, Peter J.
Format: article
Publication Date:2021
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/5004
Online Access:https://hdl.handle.net/20.500.14352/5004
Access Level:Open access
Keyword:517
Análisis matemático
1202 Análisis y Análisis Funcional
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spelling Isostables for Stochastic OscillatorsPérez Cervera, AlbertoLindner, BenjaminThomas, Peter J.517Análisis matemático1202 Análisis y Análisis FuncionalThomas and Lindner [P. J. Thomas and B. Lindner, Phys. Rev. Lett. 113, 254101 (2014).], defined an asymptotic phase for stochastic oscillators as the angle in the complex plane made by the eigenfunction, having a complex eigenvalue with a least negative real part, of the backward Kolmogorov (or stochastic Koopman) operator. We complete the phase-amplitude description of noisy oscillators by defining the stochastic isostable coordinate as the eigenfunction with the least negative nontrivial real eigenvalue. Our results suggest a framework for stochastic limit cycle dynamics that encompasses noise-induced oscillations.American Physical SocietyUniversidad Complutense de Madrid20212021-12-1420212021-12-14journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/5004reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/50042026-06-02T12:44:21Z
dc.title.none.fl_str_mv Isostables for Stochastic Oscillators
title Isostables for Stochastic Oscillators
spellingShingle Isostables for Stochastic Oscillators
Pérez Cervera, Alberto
517
Análisis matemático
1202 Análisis y Análisis Funcional
title_short Isostables for Stochastic Oscillators
title_full Isostables for Stochastic Oscillators
title_fullStr Isostables for Stochastic Oscillators
title_full_unstemmed Isostables for Stochastic Oscillators
title_sort Isostables for Stochastic Oscillators
dc.creator.none.fl_str_mv Pérez Cervera, Alberto
Lindner, Benjamin
Thomas, Peter J.
author Pérez Cervera, Alberto
author_facet Pérez Cervera, Alberto
Lindner, Benjamin
Thomas, Peter J.
author_role author
author2 Lindner, Benjamin
Thomas, Peter J.
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517
Análisis matemático
1202 Análisis y Análisis Funcional
topic 517
Análisis matemático
1202 Análisis y Análisis Funcional
description Thomas and Lindner [P. J. Thomas and B. Lindner, Phys. Rev. Lett. 113, 254101 (2014).], defined an asymptotic phase for stochastic oscillators as the angle in the complex plane made by the eigenfunction, having a complex eigenvalue with a least negative real part, of the backward Kolmogorov (or stochastic Koopman) operator. We complete the phase-amplitude description of noisy oscillators by defining the stochastic isostable coordinate as the eigenfunction with the least negative nontrivial real eigenvalue. Our results suggest a framework for stochastic limit cycle dynamics that encompasses noise-induced oscillations.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-12-14
2021
2021-12-14
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/5004
url https://hdl.handle.net/20.500.14352/5004
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
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
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:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,198674

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