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arXiv · 1101.1197

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

Jan Sieber·Matthias Wolfrum·Mark Lichtner·Serhiy Yanchuk
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Abstract

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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Jan Sieber, Matthias Wolfrum, Mark Lichtner, Serhiy Yanchuk. 2011-01-06. On the stability of periodic orbits in delay equations with large delay. https://doi.org/10.3934/dcds.2013.33.3109

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