Geometric Hamilton–Jacobi theory for higher-order autonomous systems

The geometric framework for the Hamilton–Jacobi theory is used to study this theory in the background of higher-order mechanical systems, in both the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding Hamilton–Jacobi equations in these formalisms and apply our results to analyze...

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Detalles Bibliográficos
Autores: Colombo, Leonardo, León, Manuel de, Prieto-Martínez, Pedro Daniel, Román-Roy, Narciso
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/378213
Acceso en línea:http://hdl.handle.net/10261/378213
Access Level:acceso abierto
Palabra clave:Hamilton–Jacobi equation
higher–order Lagrangian and Hamiltonian systems
Symplectic geometry
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spelling Geometric Hamilton–Jacobi theory for higher-order autonomous systemsColombo, LeonardoLeón, Manuel dePrieto-Martínez, Pedro DanielRomán-Roy, NarcisoHamilton–Jacobi equationhigher–order Lagrangian and Hamiltonian systemsSymplectic geometryThe geometric framework for the Hamilton–Jacobi theory is used to study this theory in the background of higher-order mechanical systems, in both the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding Hamilton–Jacobi equations in these formalisms and apply our results to analyze some particular physical examples.We acknowledge the financial support of the Ministerio de Ciencia e Innovación (Spain), projects MTM 2010-21186-C02-01, MTM2011-22585 and MTM2011-15725-E; AGAUR, project 2009 SGR:1338; IRSES-project ‘Geomech-246981’; and ICMAT Severo Ochoa project SEV-2011-0087. PD Prieto-Mart´ınez would like to thank the UPC for a PhD grant, and L Colombo would like to thank CSIC for a JAE-Pre grant.Peer reviewedIOP PublishingMinisterio de Ciencia e Innovación (España)Colombo, Leonardo [0000-0001-6493-6113]De León, Manuel [0000-0002-8028-2348]Prieto Martínez, Pedro Daniel [0000-0001-8325-2462]Román Roy, Narciso [0000-0003-3663-9861]Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202520252014info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/378213reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/MICINN//MTM2010-21186-C02-01info:eu-repo/grantAgreement/MICINN//MTM2011-22585info:eu-repo/grantAgreement/MICINN//MTM2011-22585info:eu-repo/grantAgreement/MICINN//MTM2011-15725-Ehttps://doi.org/10.1088/1751-8113/47/23/235203Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3782132026-05-22T06:33:51Z
dc.title.none.fl_str_mv Geometric Hamilton–Jacobi theory for higher-order autonomous systems
title Geometric Hamilton–Jacobi theory for higher-order autonomous systems
spellingShingle Geometric Hamilton–Jacobi theory for higher-order autonomous systems
Colombo, Leonardo
Hamilton–Jacobi equation
higher–order Lagrangian and Hamiltonian systems
Symplectic geometry
title_short Geometric Hamilton–Jacobi theory for higher-order autonomous systems
title_full Geometric Hamilton–Jacobi theory for higher-order autonomous systems
title_fullStr Geometric Hamilton–Jacobi theory for higher-order autonomous systems
title_full_unstemmed Geometric Hamilton–Jacobi theory for higher-order autonomous systems
title_sort Geometric Hamilton–Jacobi theory for higher-order autonomous systems
dc.creator.none.fl_str_mv Colombo, Leonardo
León, Manuel de
Prieto-Martínez, Pedro Daniel
Román-Roy, Narciso
author Colombo, Leonardo
author_facet Colombo, Leonardo
León, Manuel de
Prieto-Martínez, Pedro Daniel
Román-Roy, Narciso
author_role author
author2 León, Manuel de
Prieto-Martínez, Pedro Daniel
Román-Roy, Narciso
author2_role author
author
author
dc.contributor.none.fl_str_mv Ministerio de Ciencia e Innovación (España)
Colombo, Leonardo [0000-0001-6493-6113]
De León, Manuel [0000-0002-8028-2348]
Prieto Martínez, Pedro Daniel [0000-0001-8325-2462]
Román Roy, Narciso [0000-0003-3663-9861]
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Hamilton–Jacobi equation
higher–order Lagrangian and Hamiltonian systems
Symplectic geometry
topic Hamilton–Jacobi equation
higher–order Lagrangian and Hamiltonian systems
Symplectic geometry
description The geometric framework for the Hamilton–Jacobi theory is used to study this theory in the background of higher-order mechanical systems, in both the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding Hamilton–Jacobi equations in these formalisms and apply our results to analyze some particular physical examples.
publishDate 2014
dc.date.none.fl_str_mv 2014
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/10261/378213
url http://hdl.handle.net/10261/378213
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
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#PLACEHOLDER_PARENT_METADATA_VALUE#
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info:eu-repo/grantAgreement/MICINN//MTM2010-21186-C02-01
info:eu-repo/grantAgreement/MICINN//MTM2011-22585
info:eu-repo/grantAgreement/MICINN//MTM2011-22585
info:eu-repo/grantAgreement/MICINN//MTM2011-15725-E
https://doi.org/10.1088/1751-8113/47/23/235203
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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
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repository.mail.fl_str_mv
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