Artículo

The homotopy analysis method in bifurcation analysis of delay differential equations

Bel, Andrea LilianaIcon ; Reartes, Walter
Fecha de publicación: 05/2012
Editorial: World Scientific
Revista: International Journal Of Bifurcation And Chaos
ISSN: 0218-1274
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

In this paper we apply the homotopy analysis method (HAM) to study the van der Pol equation with a linear delayed feedback. The paper focuses on the calculation of periodic solutions and associated bifurcations, Hopf, double Hopf, NeimarkSacker, etc. In particular, we discuss the behavior of the systems in the neighborhoods of double Hopf points. We demonstrate the applicability of HAM to the analysis of bifurcation and stability.
Palabras clave: Delay Differential Equations , Double Hopf Bifurcation , Homotopy Analysis Method , Hopf Bifurcation , Van Der Pol Equation
 
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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/11336/75772
DOI: http://dx.doi.org/10.1142/S0218127412300248
URL: https://www.worldscientific.com/doi/abs/10.1142/S0218127412300248
URL: https://www.semanticscholar.org/paper/The-homotopy-Analysis-Method-in-bifurcatio
Colecciones
Articulos(CCT - BAHIA BLANCA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - BAHIA BLANCA
Citación
Bel, Andrea Liliana; Reartes, Walter; The homotopy analysis method in bifurcation analysis of delay differential equations; World Scientific; International Journal Of Bifurcation And Chaos; 22; 8; 5-2012; 1230024
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