Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems

31 pages, accepted for publication on Geometric Mechanics

Detalhes bibliográficos
Autores: Leonardo Colombo, Manuel de León, María Emma Eyrea Irazú, Asier López-Gordón
Formato: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2024
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/389474
Acesso em linha:http://hdl.handle.net/10261/389474
http://arxiv.org/abs/2211.06252v2
Access Level:acceso abierto
Palavra-chave:Mathematical Physics
Mathematics - Dynamical Systems
Mathematics - Mathematical Physics
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spelling Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systemsLeonardo ColomboManuel de LeónMaría Emma Eyrea IrazúAsier López-GordónMathematical PhysicsMathematical PhysicsMathematics - Dynamical SystemsMathematics - Mathematical Physics53Z05, 70F35, 70F40, 70H20, 93C3031 pages, accepted for publication on Geometric MechanicsA hybrid system is a system whose dynamics is given by a mixture of both continuous and discrete transitions. In particular, these systems can be utilised to describe the dynamics of a mechanical system with impacts. Based on the approach by Clark, we develop a geometric Hamilton-Jacobi theory for forced and nonholonomic hybrid dynamical systems. We state the corresponding Hamilton-Jacobi equations for these classes of systems and apply our results to analyze some examples.The authors are thankful to the referees for their insightful comments and constructive feedback which have improved the overall quality of the paper. L. Colombo, M. de León and A. López-Gordón acknowledge financial support from Grants PID2019- 106715GB-C21, PID2022-137909NB-C21 and RED2022-134301-T funded by MCIN/AEI/ 10.13039/501100011033. M. E. Eyrea Irazú received the support of CONICET. M. de León and A. López-Gordón also recieved support from the Grant CEX2019-000904-S funded by MCIN/AEI/ 10.13039/501100011033. A. López-Gordón would also like to thank MCIN for the predoctoral contract PRE2020-093814.NoWorld Scientific PublishingMinisterio de Ciencia e Innovación (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202520252024info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Preprintinfo:eu-repo/semantics/submittedVersionapplication/pdfhttp://hdl.handle.net/10261/389474http://arxiv.org/abs/2211.06252v2reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)InglésSíinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3894742026-05-22T06:33:51Z
dc.title.none.fl_str_mv Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems
title Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems
spellingShingle Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems
Leonardo Colombo
Mathematical Physics
Mathematical Physics
Mathematics - Dynamical Systems
Mathematics - Mathematical Physics
53Z05, 70F35, 70F40, 70H20, 93C30
title_short Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems
title_full Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems
title_fullStr Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems
title_full_unstemmed Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems
title_sort Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems
dc.creator.none.fl_str_mv Leonardo Colombo
Manuel de León
María Emma Eyrea Irazú
Asier López-Gordón
author Leonardo Colombo
author_facet Leonardo Colombo
Manuel de León
María Emma Eyrea Irazú
Asier López-Gordón
author_role author
author2 Manuel de León
María Emma Eyrea Irazú
Asier López-Gordón
author2_role author
author
author
dc.contributor.none.fl_str_mv Ministerio de Ciencia e Innovación (España)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Mathematical Physics
Mathematical Physics
Mathematics - Dynamical Systems
Mathematics - Mathematical Physics
53Z05, 70F35, 70F40, 70H20, 93C30
topic Mathematical Physics
Mathematical Physics
Mathematics - Dynamical Systems
Mathematics - Mathematical Physics
53Z05, 70F35, 70F40, 70H20, 93C30
description 31 pages, accepted for publication on Geometric Mechanics
publishDate 2024
dc.date.none.fl_str_mv 2024
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Preprint
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/389474
http://arxiv.org/abs/2211.06252v2
url http://hdl.handle.net/10261/389474
http://arxiv.org/abs/2211.06252v2
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv 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 World Scientific Publishing
publisher.none.fl_str_mv World Scientific 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
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812455

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