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dc.contributor.author
Amore, Paolo  
dc.contributor.author
Fernández, Francisco Marcelo  
dc.date.available
2020-03-18T19:09:56Z  
dc.date.issued
2018-09  
dc.identifier.citation
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  
dc.identifier.issn
0003-4916  
dc.identifier.uri
http://hdl.handle.net/11336/100096  
dc.description.abstract
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.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Academic Press Inc Elsevier Science  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
CONVERGENCE RADIUS  
dc.subject
LARGE ORDER PERTURBATION THEORY  
dc.subject
LINDSTEDT–POINCARÉ METHOD  
dc.subject
LOTKA–VOLTERRA SYSTEM  
dc.subject
SYSTEMATIC METHOD  
dc.subject.classification
Físico-Química, Ciencia de los Polímeros, Electroquímica  
dc.subject.classification
Ciencias Químicas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
On the application of the Lindstedt–Poincaré method to the Lotka–Volterra system  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-03-16T14:05:14Z  
dc.journal.volume
396  
dc.journal.pagination
293-303  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Amore, Paolo. Universidad de Colima; México  
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
Annals of Physics (New York)  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.aop.2018.05.019  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0003491618301556  

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