Solution to a Damped Duffing Equation Using He’s Frequency Approach

Descripción del Articulo

In this paper, we generalize He’s frequency approach for solving the damped Duffing equation by introducing a time varying amplitude. We also solve this equation by means of the homotopy method and the Lindstedt–Poincaré method. High accurate formulas for approximating the Jacobi elliptic function c...

Descripción completa

Detalles Bibliográficos
Autores: Salas, Alvaro H. S., Cieza Altamirano, Gilder, Sánchez-Chero, Manuel
Formato: artículo
Fecha de Publicación:2022
Institución:Universidad Nacional Autónoma de Chota
Repositorio:UNACH-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.unach.edu.pe:20.500.14142/355
Enlace del recurso:http://hdl.handle.net/20.500.14142/355
https://doi.org/10.1155/2022/5009722
Nivel de acceso:acceso abierto
Materia:homotopy
Lindstedt–Poincaré
http://purl.org/pe-repo/ocde/ford#1.06.06
id UNCH_7415f27831a9f27c32509af7fbec6444
oai_identifier_str oai:repositorio.unach.edu.pe:20.500.14142/355
network_acronym_str UNCH
network_name_str UNACH-Institucional
repository_id_str 4826
dc.title.es_ES.fl_str_mv Solution to a Damped Duffing Equation Using He’s Frequency Approach
title Solution to a Damped Duffing Equation Using He’s Frequency Approach
spellingShingle Solution to a Damped Duffing Equation Using He’s Frequency Approach
Salas, Alvaro H. S.
homotopy
Lindstedt–Poincaré
http://purl.org/pe-repo/ocde/ford#1.06.06
title_short Solution to a Damped Duffing Equation Using He’s Frequency Approach
title_full Solution to a Damped Duffing Equation Using He’s Frequency Approach
title_fullStr Solution to a Damped Duffing Equation Using He’s Frequency Approach
title_full_unstemmed Solution to a Damped Duffing Equation Using He’s Frequency Approach
title_sort Solution to a Damped Duffing Equation Using He’s Frequency Approach
author Salas, Alvaro H. S.
author_facet Salas, Alvaro H. S.
Cieza Altamirano, Gilder
Sánchez-Chero, Manuel
author_role author
author2 Cieza Altamirano, Gilder
Sánchez-Chero, Manuel
author2_role author
author
dc.contributor.author.fl_str_mv Salas, Alvaro H. S.
Cieza Altamirano, Gilder
Sánchez-Chero, Manuel
dc.subject.es_ES.fl_str_mv homotopy
Lindstedt–Poincaré
topic homotopy
Lindstedt–Poincaré
http://purl.org/pe-repo/ocde/ford#1.06.06
dc.subject.ocde.es_ES.fl_str_mv http://purl.org/pe-repo/ocde/ford#1.06.06
description In this paper, we generalize He’s frequency approach for solving the damped Duffing equation by introducing a time varying amplitude. We also solve this equation by means of the homotopy method and the Lindstedt–Poincaré method. High accurate formulas for approximating the Jacobi elliptic function cn are formally derived using Chebyshev and Pade approximation techniques.
publishDate 2022
dc.date.accessioned.none.fl_str_mv 2023-03-07T21:14:51Z
dc.date.available.none.fl_str_mv 2023-03-07T21:14:51Z
dc.date.issued.fl_str_mv 2022-07-11
dc.type.es_ES.fl_str_mv info:eu-repo/semantics/article
dc.type.version.es_ES.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/20.500.14142/355
dc.identifier.doi.es_ES.fl_str_mv https://doi.org/10.1155/2022/5009722
url http://hdl.handle.net/20.500.14142/355
https://doi.org/10.1155/2022/5009722
dc.language.iso.es_ES.fl_str_mv eng
language eng
dc.relation.ispartof.es_ES.fl_str_mv The Scientific World Journal
dc.rights.es_ES.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.uri.es_ES.fl_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/
dc.format.es_ES.fl_str_mv application/pdf
dc.publisher.es_ES.fl_str_mv Hindawi
dc.publisher.country.es_ES.fl_str_mv CO
dc.source.es_ES.fl_str_mv Volume 2022, Article ID 5009722, 10 pages
dc.source.none.fl_str_mv reponame:UNACH-Institucional
instname:Universidad Nacional Autónoma de Chota
instacron:UNACH
instname_str Universidad Nacional Autónoma de Chota
instacron_str UNACH
institution UNACH
reponame_str UNACH-Institucional
collection UNACH-Institucional
bitstream.url.fl_str_mv https://repositorio.unach.edu.pe/bitstreams/21a3be31-90f5-4fe2-9b4e-240aff0025d2/download
https://repositorio.unach.edu.pe/bitstreams/75989b6c-f093-4c9f-a104-a196cbee999e/download
https://repositorio.unach.edu.pe/bitstreams/0ce41dff-d673-4f65-b859-bf29edeb41ff/download
bitstream.checksum.fl_str_mv 8be3731d7e58213186f3981134b3c154
8a4605be74aa9ea9d79846c1fba20a33
296231dd9d287c52a3550d11608247d6
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositorio UNACH
repository.mail.fl_str_mv dspace-help@myu.edu
_version_ 1834655620359258112
spelling Salas, Alvaro H. S.Cieza Altamirano, GilderSánchez-Chero, Manuel2023-03-07T21:14:51Z2023-03-07T21:14:51Z2022-07-11http://hdl.handle.net/20.500.14142/355https://doi.org/10.1155/2022/5009722In this paper, we generalize He’s frequency approach for solving the damped Duffing equation by introducing a time varying amplitude. We also solve this equation by means of the homotopy method and the Lindstedt–Poincaré method. High accurate formulas for approximating the Jacobi elliptic function cn are formally derived using Chebyshev and Pade approximation techniques.application/pdfengHindawiCOThe Scientific World Journalinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/4.0/Volume 2022, Article ID 5009722, 10 pagesreponame:UNACH-Institucionalinstname:Universidad Nacional Autónoma de Chotainstacron:UNACHhomotopyLindstedt–Poincaréhttp://purl.org/pe-repo/ocde/ford#1.06.06Solution to a Damped Duffing Equation Using He’s Frequency Approachinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionORIGINALAbstract.pdfAbstract.pdfapplication/pdf204436https://repositorio.unach.edu.pe/bitstreams/21a3be31-90f5-4fe2-9b4e-240aff0025d2/download8be3731d7e58213186f3981134b3c154MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.unach.edu.pe/bitstreams/75989b6c-f093-4c9f-a104-a196cbee999e/download8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILportada 355.pngportada 355.pngimage/png133304https://repositorio.unach.edu.pe/bitstreams/0ce41dff-d673-4f65-b859-bf29edeb41ff/download296231dd9d287c52a3550d11608247d6MD5320.500.14142/355oai:repositorio.unach.edu.pe:20.500.14142/3552023-03-07 22:18:43.778https://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccessopen.accesshttps://repositorio.unach.edu.peRepositorio UNACHdspace-help@myu.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
score 13.871716
Solution to a Damped Duffing Equation Using He’s Frequency Approach
Nota importante:
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).

Ejemplares Similares