Keywords:
Forschungsbericht
Description / Table of Contents:
We show that the spectrum of linear delay differential equations with large delay splits into two different parts. One part, called the strong spectrum, converges to isolated points when the delay parameter tends to infinity. The other part, called the pseudocontinuous spectrum, accumulates near criticality and converges after rescaling to a set of spectral curves, called the asymptotic continuous spectrum. We show that the spectral curves and strong spectral points provide a complete description of the spectrum for sufficiently large delay and can be comparatively easily calculated by approximating expressions.
Type of Medium:
Online Resource
Pages:
Online-Ressource (16 S., 258 KB)
Series Statement:
Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik 1436
URL:
http://webdoc.sub.gwdg.de/ebook/serien/e/wias/2009/wias_preprints_1436.pdf
URL:
https://edocs.tib.eu/files/e01fn11/608019372.pdf
DDC:
510
Language:
English
Note:
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Systemvoraussetzungen: Acrobat reader.
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