Periodic solutions of a system of differential equations with pure delay arising in a biological problem

A class of differential equations with pure delay and a hyperbolic nonlinearity, analogous to the Michaelis-Menten term in chemical reaction kinetics, is examined. Conditions for the existence of periodic solutions are established. The amplitude and period dependences on the equation parameters are...

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Detalles Bibliográficos
Autor principal: Gumowski, I
Lenguaje:eng
Publicado: 1977
Materias:
Computing and Computers
Acceso en línea:http://cds.cern.ch/record/880086
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author Gumowski, I
author_facet Gumowski, I
author_sort Gumowski, I
collection CERN
description A class of differential equations with pure delay and a hyperbolic nonlinearity, analogous to the Michaelis-Menten term in chemical reaction kinetics, is examined. Conditions for the existence of periodic solutions are established. The amplitude and period dependences on the equation parameters are estimated analytically. A mixed analytico-numerical approach is used in the computations, because a straightforward integration of the equations is numerically ill conditioned. (11 refs).
id cern-880086
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1977
record_format invenio
spelling cern-8800862019-09-30T06:29:59Zhttp://cds.cern.ch/record/880086engGumowski, IPeriodic solutions of a system of differential equations with pure delay arising in a biological problemComputing and ComputersA class of differential equations with pure delay and a hyperbolic nonlinearity, analogous to the Michaelis-Menten term in chemical reaction kinetics, is examined. Conditions for the existence of periodic solutions are established. The amplitude and period dependences on the equation parameters are estimated analytically. A mixed analytico-numerical approach is used in the computations, because a straightforward integration of the equations is numerically ill conditioned. (11 refs).oai:cds.cern.ch:8800861977
spellingShingle Computing and Computers
Gumowski, I
Periodic solutions of a system of differential equations with pure delay arising in a biological problem
title Periodic solutions of a system of differential equations with pure delay arising in a biological problem
title_full Periodic solutions of a system of differential equations with pure delay arising in a biological problem
title_fullStr Periodic solutions of a system of differential equations with pure delay arising in a biological problem
title_full_unstemmed Periodic solutions of a system of differential equations with pure delay arising in a biological problem
title_short Periodic solutions of a system of differential equations with pure delay arising in a biological problem
title_sort periodic solutions of a system of differential equations with pure delay arising in a biological problem
topic Computing and Computers
url http://cds.cern.ch/record/880086
work_keys_str_mv AT gumowskii periodicsolutionsofasystemofdifferentialequationswithpuredelayarisinginabiologicalproblem

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