Artículo
High order analysis of the limit cycle of the van der Pol oscillator
Fecha de publicación:
01/2018
Editorial:
American Institute of Physics
Revista:
Journal of Mathematical Physics
ISSN:
0022-2488
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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.
Palabras clave:
VAN DER POL
,
PERTURBATION THEORY
,
LARGE ORDER
,
BRANCH CUT
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Articulos(INIFTA)
Articulos de INST.DE INV.FISICOQUIMICAS TEORICAS Y APLIC.
Articulos de INST.DE INV.FISICOQUIMICAS TEORICAS Y APLIC.
Citación
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
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