Comment on ‘Solution of the Duffing–van der Pol oscillator equation by a differential transform method’

Autores
Fernández, Francisco Marcelo
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We discuss the application of the so-called differential transform method (DTM) to a particular solution of the Duffing–van der Pol oscillator. We argue that the example is of scarce physical utility and that the DTM is merely the well-known Taylor series method. We show that the results are affected by round-off errors that are unexpected for such an extremely simple problem. We also disclose the limitations of the DTM-Taylor series solutions for nonlinear problems.
Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina
Materia
Differential transform method
Duffing oscillator
Van der Pol oscillator
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/279701
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Comment on ‘Solution of the Duffing–van der Pol oscillator equation by a differential transform method’Fernández, Francisco MarceloDifferential transform methodDuffing oscillatorVan der Pol oscillatorhttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1We discuss the application of the so-called differential transform method (DTM) to a particular solution of the Duffing–van der Pol oscillator. We argue that the example is of scarce physical utility and that the DTM is merely the well-known Taylor series method. We show that the results are affected by round-off errors that are unexpected for such an extremely simple problem. We also disclose the limitations of the DTM-Taylor series solutions for nonlinear problems.Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; ArgentinaIOP Publishing2011-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/279701Fernández, Francisco Marcelo; Comment on ‘Solution of the Duffing–van der Pol oscillator equation by a differential transform method’; IOP Publishing; Physica Scripta; 84; 3; 7-2011; 1-40031-8949CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0031-8949/84/03/037002info:eu-repo/semantics/altIdentifier/doi/10.1088/0031-8949/84/03/037002info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-02-26T09:59:28Zoai:ri.conicet.gov.ar:11336/279701instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-02-26 09:59:29.136CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Comment on ‘Solution of the Duffing–van der Pol oscillator equation by a differential transform method’
title Comment on ‘Solution of the Duffing–van der Pol oscillator equation by a differential transform method’
spellingShingle Comment on ‘Solution of the Duffing–van der Pol oscillator equation by a differential transform method’
Fernández, Francisco Marcelo
Differential transform method
Duffing oscillator
Van der Pol oscillator
title_short Comment on ‘Solution of the Duffing–van der Pol oscillator equation by a differential transform method’
title_full Comment on ‘Solution of the Duffing–van der Pol oscillator equation by a differential transform method’
title_fullStr Comment on ‘Solution of the Duffing–van der Pol oscillator equation by a differential transform method’
title_full_unstemmed Comment on ‘Solution of the Duffing–van der Pol oscillator equation by a differential transform method’
title_sort Comment on ‘Solution of the Duffing–van der Pol oscillator equation by a differential transform method’
dc.creator.none.fl_str_mv Fernández, Francisco Marcelo
author Fernández, Francisco Marcelo
author_facet Fernández, Francisco Marcelo
author_role author
dc.subject.none.fl_str_mv Differential transform method
Duffing oscillator
Van der Pol oscillator
topic Differential transform method
Duffing oscillator
Van der Pol oscillator
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.4
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We discuss the application of the so-called differential transform method (DTM) to a particular solution of the Duffing–van der Pol oscillator. We argue that the example is of scarce physical utility and that the DTM is merely the well-known Taylor series method. We show that the results are affected by round-off errors that are unexpected for such an extremely simple problem. We also disclose the limitations of the DTM-Taylor series solutions for nonlinear problems.
Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina
description We discuss the application of the so-called differential transform method (DTM) to a particular solution of the Duffing–van der Pol oscillator. We argue that the example is of scarce physical utility and that the DTM is merely the well-known Taylor series method. We show that the results are affected by round-off errors that are unexpected for such an extremely simple problem. We also disclose the limitations of the DTM-Taylor series solutions for nonlinear problems.
publishDate 2011
dc.date.none.fl_str_mv 2011-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/279701
Fernández, Francisco Marcelo; Comment on ‘Solution of the Duffing–van der Pol oscillator equation by a differential transform method’; IOP Publishing; Physica Scripta; 84; 3; 7-2011; 1-4
0031-8949
CONICET Digital
CONICET
url http://hdl.handle.net/11336/279701
identifier_str_mv Fernández, Francisco Marcelo; Comment on ‘Solution of the Duffing–van der Pol oscillator equation by a differential transform method’; IOP Publishing; Physica Scripta; 84; 3; 7-2011; 1-4
0031-8949
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0031-8949/84/03/037002
info:eu-repo/semantics/altIdentifier/doi/10.1088/0031-8949/84/03/037002
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.176822

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