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dc.contributor.author
Amore, Paolo
dc.contributor.author
Boyd, John P.
dc.contributor.author
Fernández, Francisco Marcelo
dc.date.available
2020-03-17T21:32:31Z
dc.date.issued
2018-01
dc.identifier.citation
Amore, Paolo; Boyd, John P.; Fernández, Francisco Marcelo; High order analysis of the limit cycle of the van der Pol oscillator; American Institute of Physics; Journal of Mathematical Physics; 59; 1; 1-2018; 1-11; 012702
dc.identifier.issn
0022-2488
dc.identifier.uri
http://hdl.handle.net/11336/99951
dc.description.abstract
We have applied the Lindstedt-Poincaré method to study the limit cycle of the van der Pol oscillator, obtaining the numerical coefficients of the series for the period and for the amplitude to order 859. Hermite-Padé approximants have been used to extract the location of the branch cut of the series with unprecedented accuracy (100 digits). Both series have then been resummed using an approach based on Padé approximants, where the exact asymptotic behaviors of the period and the amplitude are taken into account. Our results improve drastically all previous results obtained on this subject.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Institute of Physics
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
VAN DER POL
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PERTURBATION THEORY
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LARGE ORDER
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BRANCH CUT
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Físico-Química, Ciencia de los Polímeros, Electroquímica
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Ciencias Químicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
High order analysis of the limit cycle of the van der Pol oscillator
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-03-16T14:05:26Z
dc.journal.volume
59
dc.journal.number
1
dc.journal.pagination
1-11; 012702
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Amore, Paolo. Universidad de Colima; México
dc.description.fil
Fil: Boyd, John P.. University of Michigan; Estados Unidos
dc.description.fil
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
dc.journal.title
Journal of Mathematical Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1063/1.5016961
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://aip.scitation.org/doi/10.1063/1.5016961
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1711.09978
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