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Analysis methods for neutral delay differential equations

Authors: Itovich, Griselda Rut; Gentile, Franco Sebastián; Moiola, Jorge Luis;

Analysis methods for neutral delay differential equations

Abstract

Two different methods for the stability and bifurcation analyses of neutral delay differential equations are presented. The first one relies on classical techniques and it is oriented to the study of the roots of the characteristic equation, which is a transcendental one. It provides a straightforward test to obtain the stability chart in the parameter space of the studied system. The second method uses a frequency-domain approach, based on the control theory, to determine the stability and dynamic bifurcations, and also providing approximations for the smooth oscillations appearing when the system loses its stability.

Fil: Gentile, Franco Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages". Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages"; Argentina

Fil: Moiola, Jorge Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages". Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages"; Argentina

Fil: Itovich, Griselda Rut. Universidad Nacional de Río Negro. Sede Alto Valle. Escuela de Producción, Tecnología y Medio Ambiente; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina

Comité organizador de la Reunión de Trabajo en Procesamiento de la Información y Control

XVIII Reunión de Trabajo en Procesamiento de la Información y Control

Bahia Blanca

Argentina

Country
Argentina
Keywords

Stability of equilibrium, Neutral delay differential equations, https://purl.org/becyt/ford/1.1, Hopf bifurcation, https://purl.org/becyt/ford/1

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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