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A Herglotz-based integrator for nonholonomic mechanical systems

Correspondence: Email: inortiz@pol.una.py; Tel: +595994787424.

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Main Author: Maciel Recalde, Elías Fabián (author)
Other Authors: Ortiz, Inocencio (author), Schaerer Serra, Christian Emilio (author)
Format: article
Language:English
Published: 2023
Subjects:
Contact integrator
Herglotz principle
Nonconservative systems
Nonholonomic systems
Online Access:https://doi.org/10.3934/jgm.2023012
http://hdl.handle.net/20.500.14066/4511
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author Maciel Recalde, Elías Fabián
author2 Ortiz, Inocencio
Schaerer Serra, Christian Emilio
author2_role author
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author_browse Maciel Recalde, Elías Fabián
Ortiz, Inocencio
Schaerer Serra, Christian Emilio
author_facet Maciel Recalde, Elías Fabián
Ortiz, Inocencio
Schaerer Serra, Christian Emilio
author_role author
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dc.creator.none.fl_str_mv Maciel Recalde, Elías Fabián
Ortiz, Inocencio
Schaerer Serra, Christian Emilio
dc.date.accessioned.none.fl_str_mv 2025-01-28T17:13:34Z
dc.date.available.none.fl_str_mv 2025-01-28T17:13:34Z
dc.date.issued.none.fl_str_mv 2023-02-21
dc.identifier.citation.en.fl_str_mv Maciel, E., Ortiz, I., & Schaerer, C. E. (2023). A Herglotz-based integrator for nonholonomic mechanical systems. Journal of Geometric Mechanics, 15(1), 287-318. https://doi.org/10.3934/jgm.2023012
dc.identifier.doi.es.fl_str_mv 10.3934/jgm.2023012
dc.identifier.issn.es.fl_str_mv 1941-4889
dc.identifier.other.es.fl_str_mv https://doi.org/10.3934/jgm.2023012
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/20.500.14066/4511
dc.language.iso.es.fl_str_mv eng
dc.publisher.es.fl_str_mv AIMS Press
dc.rights.*.fl_str_mv Atribución 4.0 Internacional
dc.rights.accessRights.es.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.uri.*.fl_str_mv http://creativecommons.org/licenses/by/4.0/
dc.subject.other.es.fl_str_mv Contact integrator
Herglotz principle
Nonconservative systems
Nonholonomic systems
dc.title.es.fl_str_mv A Herglotz-based integrator for nonholonomic mechanical systems
dc.type.es.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
description Correspondence: Email: inortiz@pol.una.py; Tel: +595994787424.
eu_rights_str_mv openAccess
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identifier_str_mv Maciel, E., Ortiz, I., & Schaerer, C. E. (2023). A Herglotz-based integrator for nonholonomic mechanical systems. Journal of Geometric Mechanics, 15(1), 287-318. https://doi.org/10.3934/jgm.2023012
1941-4889
10.3934/jgm.2023012
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publishDate 2023
publishDateSort 2023
repository.mail.fl_str_mv repositorio.institucional@conacyt.gov.py
repository.name.fl_str_mv Repositorio Institucional CONACYT
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rights_invalid_str_mv Atribución 4.0 Internacional
http://creativecommons.org/licenses/by/4.0/
spelling 916ca57a-f4e2-468e-b2aa-8e74e659c6ea600932dc3b7-a1eb-4287-8dd7-e4a41c1dca8a60010626002025-01-28T17:13:34Z2025-01-28T17:13:34Z2023-02-21Maciel, E., Ortiz, I., & Schaerer, C. E. (2023). A Herglotz-based integrator for nonholonomic mechanical systems. Journal of Geometric Mechanics, 15(1), 287-318. https://doi.org/10.3934/jgm.20230121941-4889https://doi.org/10.3934/jgm.2023012http://hdl.handle.net/20.500.14066/451110.3934/jgm.2023012Correspondence: Email: inortiz@pol.una.py; Tel: +595994787424.We propose a numerical scheme for the time-integration of nonholonomic mechanical systems, both conservative and nonconservative. The scheme is obtained by simultaneously discretizing the constraint equations and the Herglotz variational principle. We validate the method using numerical simulations and contrast them against the results of standard methods from the literature.Consejo Nacional de Ciencia y TecnologíaPrograma Paraguayo para el Desarrollo de la Ciencia y Tecnología. Programa Nacional de Incentivo a los InvestigadoresengAIMS PressAtribución 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccess© 2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0).Contact integratorHerglotz principleNonconservative systemsNonholonomic systemsA Herglotz-based integrator for nonholonomic mechanical systemsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion1Journal of Geometric Mechanics28731815Maciel Recalde, Elías FabiánOrtiz, InocencioSchaerer Serra, Christian EmilioTHUMBNAILA Herglotz-based integrator for nonholonomic mechanical systems.jpgA Herglotz-based integrator for nonholonomic mechanical systems.jpgVista de primera página de artículo científicoimage/jpeg767743http://repositorio.conacyt.gov.py/bitstream/20.500.14066/4511/4/A%20Herglotz-based%20integrator%20for%20nonholonomic%20mechanical%20systems.jpg88af07b8384edeabc5d4ecbef3346f71MD54ORIGINALA Herglotz-based integrator for nonholonomic mechanical systems.pdfA Herglotz-based integrator for nonholonomic mechanical systems.pdfArtículo científicoapplication/pdf2839866http://repositorio.conacyt.gov.py/bitstream/20.500.14066/4511/1/A%20Herglotz-based%20integrator%20for%20nonholonomic%20mechanical%20systems.pdff276f0c7f1bd1a99cd9455dfd829cbddMD51Material complementario.pdfMaterial complementario.pdfMaterial complementarioapplication/pdf446082http://repositorio.conacyt.gov.py/bitstream/20.500.14066/4511/5/Material%20complementario.pdff22815fdbccf4c18b73c48a1f4424b05MD55CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8908http://repositorio.conacyt.gov.py/bitstream/20.500.14066/4511/2/license_rdf0175ea4a2d4caec4bbcc37e300941108MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81698http://repositorio.conacyt.gov.py/bitstream/20.500.14066/4511/3/license.txt858b22fda432bd774e469302988c1974MD53TEXTA Herglotz-based integrator for nonholonomic mechanical systems.pdf.txtA Herglotz-based integrator for nonholonomic mechanical systems.pdf.txtExtracted texttext/plain60043http://repositorio.conacyt.gov.py/bitstream/20.500.14066/4511/6/A%20Herglotz-based%20integrator%20for%20nonholonomic%20mechanical%20systems.pdf.txt8c6a2e8797368415a4b294e776ffa1c0MD56Material complementario.pdf.txtMaterial complementario.pdf.txtExtracted texttext/plain4792http://repositorio.conacyt.gov.py/bitstream/20.500.14066/4511/7/Material%20complementario.pdf.txtc96218be1334a0ff138b7a780a0b934cMD5720.500.14066/4511oai:repositorio.conacyt.gov.py:20.500.14066/45112026-02-12 19:30:39.636Repositorio Institucional CONACYTrepositorio.institucional@conacyt.gov.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
spellingShingle A Herglotz-based integrator for nonholonomic mechanical systems
Maciel Recalde, Elías Fabián
Contact integrator
Herglotz principle
Nonconservative systems
Nonholonomic systems
status_str publishedVersion
title A Herglotz-based integrator for nonholonomic mechanical systems
title_full A Herglotz-based integrator for nonholonomic mechanical systems
title_fullStr A Herglotz-based integrator for nonholonomic mechanical systems
title_full_unstemmed A Herglotz-based integrator for nonholonomic mechanical systems
title_short A Herglotz-based integrator for nonholonomic mechanical systems
title_sort A Herglotz-based integrator for nonholonomic mechanical systems
topic Contact integrator
Herglotz principle
Nonconservative systems
Nonholonomic systems
url https://doi.org/10.3934/jgm.2023012
http://hdl.handle.net/20.500.14066/4511

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