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.
Author: | Jan Sieber, Matthias Wolfrum, Mark Lichtner, Serhiy Yanchuk |
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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 |