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Periodic orbits for some systems of delay differential equations |
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| Authors: | Jaume Llibre Alexandrina-Alina Tarţa |
| Affiliation: | (1) Departament de Matemàatiques Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain;(2) Department of Applied Mathematics, Babeş-Bolyai University, 1 Kogalniceanu str., 400084 Cluj-Napoca, Cluj, Romania |
| 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. The first author is partially supported by a MCYT/FEDER Grant No. MTM2005-06098-C02-01 and by a CICYT Grant No. 2005SGR 00550; the second one is supported by a Marie Curie Grant No. HPMT-CT-2001-00247 |
| Keywords: | delay differential system periodic orbit |
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