Artículo

On the application of the Lindstedt–Poincaré method to the Lotka–Volterra system

Amore, Paolo; Fernández, Francisco MarceloIcon
Fecha de publicación: 09/2018
Editorial: Academic Press Inc Elsevier Science
Revista: Annals of Physics (New York)
ISSN: 0003-4916
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We apply the Lindstedt–Poincaré method to the Lotka–Volterra model and discuss alternative implementations of the approach. By means of an efficient systematic algorithm we obtain an unprecedented number of perturbation corrections for the two dynamical variables and the frequency. They enable us to estimate the radius of convergence of the perturbation series for the frequency as a function of the only model parameter. The method is suitable for the treatment of systems with any number of dynamical variables.
Palabras clave: CONVERGENCE RADIUS , LARGE ORDER PERTURBATION THEORY , LINDSTEDT–POINCARÉ METHOD , LOTKA–VOLTERRA SYSTEM , SYSTEMATIC METHOD
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/100096
DOI: http://dx.doi.org/10.1016/j.aop.2018.05.019
URL: https://www.sciencedirect.com/science/article/abs/pii/S0003491618301556
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Articulos(INIFTA)
Articulos de INST.DE INV.FISICOQUIMICAS TEORICAS Y APLIC.
Citación
Amore, Paolo; Fernández, Francisco Marcelo; On the application of the Lindstedt–Poincaré method to the Lotka–Volterra system; Academic Press Inc Elsevier Science; Annals of Physics (New York); 396; 9-2018; 293-303
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