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On the stability of periodic orbits in delay equations with large delay

Please always quote using this URN:urn:nbn:de:0296-matheon-8219
  • We prove a necessary and sufficient criterion for the exponential stability of periodic solutions of delay differential equations with large delay. We show that for sufficiently large delay the Floquet spectrum near criticality is characterized by a set of curves, which we call asymptotic continuous spectrum, that is independent on the delay.

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Metadaten
Author:Jan Sieber, Matthias Wolfrum, Mark Lichtner, Serhiy Yanchuk
URN:urn:nbn:de:0296-matheon-8219
Referee:Alexander Mielke
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2011/04/29
Release Date:2011/04/29
Institute:Humboldt-Universität zu Berlin
Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
MSC-Classification:34-XX ORDINARY DIFFERENTIAL EQUATIONS / 34Kxx Functional-differential and differential-difference equations [See also 37-XX] / 34K06 Linear functional-differential equations
34-XX ORDINARY DIFFERENTIAL EQUATIONS / 34Kxx Functional-differential and differential-difference equations [See also 37-XX] / 34K13 Periodic solutions
34-XX ORDINARY DIFFERENTIAL EQUATIONS / 34Kxx Functional-differential and differential-difference equations [See also 37-XX] / 34K20 Stability theory
Preprint Number:786
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