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arXiv:1101.1197 [math.DS]AbstractReferencesReviewsResources

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

Jan Sieber, Matthias Wolfrum, Mark Lichtner, Serhiy Yanchuk

Published 2011-01-06, updated 2012-12-05Version 5

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.

Comments: postprint version
Journal: Discrete and Continuous Dynamical Systems - Series A 33(7), 3109-3134, 2013
Categories: math.DS
Subjects: 34K13, 34K20, 34K06
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