Artículo

Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain

Bel, Andrea LilianaIcon ; Reartes, Walter; Torresi, Ana María Luján
Fecha de publicación: 12/2016
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 work we study local oscillations in delay differential equations with a frequency domain methodology. The main result is a bifurcation equation from which the existence and expressions of local periodic solutions can be determined. We present an iterative method to obtain the bifurcation equation up to a fixed arbitrary order. It is shown how this method can be implemented in symbolic math programs.
Palabras clave: Bifurcations of Periodic Solutions , Delay Differential Equations , Frequency Domain 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/11336/51688
DOI: http://dx.doi.org/10.1142/S0218127416502382
URL: https://www.worldscientific.com/doi/abs/10.1142/S0218127416502382
URL: https://arxiv.org/abs/1609.07763
Colecciones
Articulos(CCT - BAHIA BLANCA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - BAHIA BLANCA
Citación
Bel, Andrea Liliana; Reartes, Walter; Torresi, Ana María Luján; Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain; World Scientific; International Journal Of Bifurcation And Chaos; 26; 14; 12-2016; 1-16
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