Periodic orbits for some systems of delay differential equations

Jaume Llibre; Alexandrina Alina Tarţa

doi:10.1007/s10114-007-0983-z

Periodic orbits for some systems of delay differential equations

Jaume Llibre, Alexandrina Alina Tarţa

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

Abstract

We provide sufficient conditions for the existence of periodic orbits of some systems of delay differential equations with a unique delay. We extend Kaplan-Yorke's method for finding periodic orbits from a delay differential equation with several delays to a system of delay differential equations with a unique delay. © 2008 Springer-Verlag.

Original language	English
Pages (from-to)	267-274
Journal	Acta Mathematica Sinica, English Series
Volume	24
Issue number	2
DOIs	https://doi.org/10.1007/s10114-007-0983-z
Publication status	Published - 1 Feb 2008

Keywords

Delay differential system
Periodic orbit

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title = "Periodic orbits for some systems of delay differential equations",

abstract = "We provide sufficient conditions for the existence of periodic orbits of some systems of delay differential equations with a unique delay. We extend Kaplan-Yorke's method for finding periodic orbits from a delay differential equation with several delays to a system of delay differential equations with a unique delay. {\textcopyright} 2008 Springer-Verlag.",

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AU - Tarţa, Alexandrina Alina

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N2 - We provide sufficient conditions for the existence of periodic orbits of some systems of delay differential equations with a unique delay. We extend Kaplan-Yorke's method for finding periodic orbits from a delay differential equation with several delays to a system of delay differential equations with a unique delay. © 2008 Springer-Verlag.

AB - We provide sufficient conditions for the existence of periodic orbits of some systems of delay differential equations with a unique delay. We extend Kaplan-Yorke's method for finding periodic orbits from a delay differential equation with several delays to a system of delay differential equations with a unique delay. © 2008 Springer-Verlag.

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KW - Periodic orbit

U2 - 10.1007/s10114-007-0983-z

DO - 10.1007/s10114-007-0983-z

M3 - Article

VL - 24

SP - 267

EP - 274

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

SN - 1439-8516

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