Transdimensional dynamics of Kerr cavity solitons

[EN] We study the bifurcation and stability of radial symmetric solitons in one-(1D), two-(2D), and threedimensional (3D) damped-driven Kerr cavity systems. We employ a dimension-parameterized one-dimensional framework, by imposing symmetry, where the dimension of the systems can be adjusted by a re...

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Autores: Sun, YF, Parra-Rivas, Pedro, Leo, Francois, Wabnitz, S, Milián Enrique, Carles|||0000-0001-8492-366X
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/225880
Acceso en línea:https://riunet.upv.es/handle/10251/225880
Access Level:acceso abierto
Palabra clave:Kerr cavity systems
Key bifurcations
Transdimensional dynamics
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spelling Transdimensional dynamics of Kerr cavity solitonsSun, YFParra-Rivas, PedroLeo, FrancoisWabnitz, SMilián Enrique, Carles|||0000-0001-8492-366XKerr cavity systemsKey bifurcationsTransdimensional dynamics[EN] We study the bifurcation and stability of radial symmetric solitons in one-(1D), two-(2D), and threedimensional (3D) damped-driven Kerr cavity systems. We employ a dimension-parameterized one-dimensional framework, by imposing symmetry, where the dimension of the systems can be adjusted by a real parameter, enabling us to analyze the impact of the dimensionality increase, in a continuous fashion, on the system's dynamics. Our results applied to Kerr cavity solitons unveil how key bifurcations, such as Hopf or exponential instabilities, appear in the system and reveal that the soliton solutions tend to become more and more unstable in systems with increased dimensions. Consequently, the stability region for 2D solitons is much narrower than in 1D, and all 3D solitons are unstable against collapse in the 3D damped-driven nonlinear Schr & ouml;dinger equation. Our results and methods may be applied to other physically relevant 1D, 2D, 3D systems under symmetric conditions.This work was supported by Marie Sklodowska-Curie Actions (Grants No. 101149506, No. 101023717); the Spanish government via the Grant No. PID2021-124618NB-C21 funded by Grant No, MCIN/AEI/10.13039/501100011033 and by "ERDF A way of making Europe."American Physical SocietyEscuela Técnica Superior de Ingeniería de TelecomunicaciónDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería IndustrialEuropean CommissionAgencia Estatal de InvestigaciónEuropean Regional Development FundRepositorio Institucional de la Universitat Politècnica de València Riunet20252025-07-15journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/225880reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-124618NB-C21 HACIA SENSADO Y PROCESADO DE SEÑAL TODO OPTICO USANDO OPTOMECANICA DE CAVIDADES Y MOLECULAR: DESDE PEINES OPTOMECANICOS A ESPECTROSCOPIA RAMAN EN CHIPS DE SILICIOEuropean Commission https://doi.org/10.13039/501100000780 H2020 101023717 Nonlinear spatiotemporal light bullets: origin and stabilityEuropean Commission https://doi.org/10.13039/501100000780 HE 101149506 Dimensional Insights into Dissipative Kerr Solitonsopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento (by)http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2258802026-06-13T07:49:27Z
dc.title.none.fl_str_mv Transdimensional dynamics of Kerr cavity solitons
title Transdimensional dynamics of Kerr cavity solitons
spellingShingle Transdimensional dynamics of Kerr cavity solitons
Sun, YF
Kerr cavity systems
Key bifurcations
Transdimensional dynamics
title_short Transdimensional dynamics of Kerr cavity solitons
title_full Transdimensional dynamics of Kerr cavity solitons
title_fullStr Transdimensional dynamics of Kerr cavity solitons
title_full_unstemmed Transdimensional dynamics of Kerr cavity solitons
title_sort Transdimensional dynamics of Kerr cavity solitons
dc.creator.none.fl_str_mv Sun, YF
Parra-Rivas, Pedro
Leo, Francois
Wabnitz, S
Milián Enrique, Carles|||0000-0001-8492-366X
author Sun, YF
author_facet Sun, YF
Parra-Rivas, Pedro
Leo, Francois
Wabnitz, S
Milián Enrique, Carles|||0000-0001-8492-366X
author_role author
author2 Parra-Rivas, Pedro
Leo, Francois
Wabnitz, S
Milián Enrique, Carles|||0000-0001-8492-366X
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Escuela Técnica Superior de Ingeniería de Telecomunicación
Departamento de Matemática Aplicada
Instituto Universitario de Matemática Pura y Aplicada
Escuela Técnica Superior de Ingeniería Industrial
European Commission
Agencia Estatal de Investigación
European Regional Development Fund
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Kerr cavity systems
Key bifurcations
Transdimensional dynamics
topic Kerr cavity systems
Key bifurcations
Transdimensional dynamics
description [EN] We study the bifurcation and stability of radial symmetric solitons in one-(1D), two-(2D), and threedimensional (3D) damped-driven Kerr cavity systems. We employ a dimension-parameterized one-dimensional framework, by imposing symmetry, where the dimension of the systems can be adjusted by a real parameter, enabling us to analyze the impact of the dimensionality increase, in a continuous fashion, on the system's dynamics. Our results applied to Kerr cavity solitons unveil how key bifurcations, such as Hopf or exponential instabilities, appear in the system and reveal that the soliton solutions tend to become more and more unstable in systems with increased dimensions. Consequently, the stability region for 2D solitons is much narrower than in 1D, and all 3D solitons are unstable against collapse in the 3D damped-driven nonlinear Schr & ouml;dinger equation. Our results and methods may be applied to other physically relevant 1D, 2D, 3D systems under symmetric conditions.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-07-15
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/225880
url https://riunet.upv.es/handle/10251/225880
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 http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-124618NB-C21 HACIA SENSADO Y PROCESADO DE SEÑAL TODO OPTICO USANDO OPTOMECANICA DE CAVIDADES Y MOLECULAR: DESDE PEINES OPTOMECANICOS A ESPECTROSCOPIA RAMAN EN CHIPS DE SILICIO
European Commission https://doi.org/10.13039/501100000780 H2020 101023717 Nonlinear spatiotemporal light bullets: origin and stability
European Commission https://doi.org/10.13039/501100000780 HE 101149506 Dimensional Insights into Dissipative Kerr Solitons
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento (by)
http://creativecommons.org/licenses/by/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
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
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:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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