An Elementary Study of a Class of Dynamic Systems with Two Time Delays

An Elementary Study of a Class of Dynamic Systems with Two Time Delays

An elementary analysis is developed to determine the stability region of a certain class of ordinary differential equations with two delays. Our analysis is based on determining stability switches first where an eigenvalue is pure complex, and then checking the conditions for stability loss or stabi...

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Autores principales: Matsumoto,Akio, Szidarovszky,Ferenc
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2012
Materias:
dynamic systems
time delays
stabiliy analysis
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000300007
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spelling oai:scielo:S0719-064620120003000072018-10-08An Elementary Study of a Class of Dynamic Systems with Two Time DelaysMatsumoto,AkioSzidarovszky,Ferenc dynamic systems time delays stabiliy analysis An elementary analysis is developed to determine the stability region of a certain class of ordinary differential equations with two delays. Our analysis is based on determining stability switches first where an eigenvalue is pure complex, and then checking the conditions for stability loss or stability gain. In the case of both stability losses and stability gains Hopf bifurcation occurs giving the possibility of the birth of limit cycles.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.14 n.3 20122012-10-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000300007en10.4067/S0719-06462012000300007
institution Scielo Chile
collection Scielo Chile
language English
topic dynamic systems
time delays
stabiliy analysis
spellingShingle dynamic systems
time delays
stabiliy analysis
Matsumoto,Akio
Szidarovszky,Ferenc
An Elementary Study of a Class of Dynamic Systems with Two Time Delays
description An elementary analysis is developed to determine the stability region of a certain class of ordinary differential equations with two delays. Our analysis is based on determining stability switches first where an eigenvalue is pure complex, and then checking the conditions for stability loss or stability gain. In the case of both stability losses and stability gains Hopf bifurcation occurs giving the possibility of the birth of limit cycles.
author Matsumoto,Akio
Szidarovszky,Ferenc
author_facet Matsumoto,Akio
Szidarovszky,Ferenc
author_sort Matsumoto,Akio
title An Elementary Study of a Class of Dynamic Systems with Two Time Delays
title_short An Elementary Study of a Class of Dynamic Systems with Two Time Delays
title_full An Elementary Study of a Class of Dynamic Systems with Two Time Delays
title_fullStr An Elementary Study of a Class of Dynamic Systems with Two Time Delays
title_full_unstemmed An Elementary Study of a Class of Dynamic Systems with Two Time Delays
title_sort elementary study of a class of dynamic systems with two time delays
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2012
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000300007
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