Mechanical Hamiltonization of unreduced φ-simple Chaplygin systems

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dc.contributor.authorAnahory, Alexandre
dc.contributor.authorMarrero, Juan Carlos
dc.contributor.authorMartín de Diego, David
dc.contributor.funderMinisterio de Ciencia e Innovación
dc.contributor.funderAgencia Estatal de Investigación
dc.contributor.rorhttps://ror.org/02jjdwm75
dc.date.accessioned2026-03-06T12:12:15Z
dc.date.issued2025-05-24
dc.description.abstractIn this paper, we prove that the trajectories of unreduced 𝜙-simple Chaplygin kinetic systems are reparameterizations of horizontalgeodesics with respect to a modified Riemannian metric. Furthermore, our proof is constructive and these Riemannian metrics, which are not unique, are obtained explicitly in interesting examples. We also extend these results to 𝜙-simple Chaplygin mechanical systems (not necessarily kinetic).
dc.description.peerreviewedYes
dc.description.sponsorshipThe authors acknowledge financial support from Grants PID2022-137909- NB-C21, PID2022-137909-NB-C22, RED2022-134301-TD and CEX2023-001347-S funded by MCIN/AEI/10.13039/501100011033. The authors are also thankful to L. García-Naranjo for some useful comments on a first version of this paper. Finally, they would like to thank the referees for their careful revision and suggestions that improved the quality of the paper and also for the insightful comments on the principal Riemannian metric that were crucial to address the examples in a direct way.
dc.description.statusPublished
dc.formatapplication/pdf
dc.identifier.citationSimoes, A. A., Marrero, J. C., & de Diego, D. M. (2025). Mechanical Hamiltonization of Unreduced ϕ ϕ‐Simple Chaplygin Systems. Studies in Applied Mathematics, 154(5), e70065. https://doi.org/10.1111/sapm.70065Digital Object Identifier (DOI)
dc.identifier.doihttps://doi.org/10.1111/sapm.70065
dc.identifier.issn0022-2526
dc.identifier.officialurlhttps://onlinelibrary.wiley.com/doi/10.1111/sapm.70065
dc.identifier.urihttps://hdl.handle.net/20.500.14417/4238
dc.issue.number5
dc.journal.titleStudies in Applied Mathematics
dc.language.isoeng
dc.page.total14
dc.publisherWiley
dc.relation.departmentApplied Mathematics
dc.relation.entityIE University
dc.relation.projectidPID2022-137909-NB-C21
dc.relation.projectidPID2022-137909-NB-C22
dc.relation.projectidRED2022-134301-TD
dc.relation.projectidCEX2023-001347-S
dc.relation.schoolIE School of Science & Technology
dc.rightsAttribution 4.0 International
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject.keywordsHamiltonization
dc.subject.keywordsunreduced systems
dc.subject.keywordsφ-simple Chaplygin systems
dc.subject.keywordsRiemannian submersions.
dc.subject.odsODS 9 - Industria, innovación e infraestructura
dc.subject.unesco12 Matemáticas
dc.titleMechanical Hamiltonization of unreduced φ-simple Chaplygin systems
dc.typeinfo:eu-repo/semantics/article
dc.version.typeinfo:eu-repo/semantics/publishedVersion
dc.volume.number154
dspace.entity.typePublication
relation.isAuthorOfPublicationbfb483c1-187d-498e-9d83-608444b142d5
relation.isAuthorOfPublication.latestForDiscoverybfb483c1-187d-498e-9d83-608444b142d5

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