Asymptotic properties of the spectrum of neutral delay differential equations

Spectral properties and transition to instability in neutral delay differential equations are investigated in the limit of large delay. An approximation of the upper boundary of stability is found and compared to an analytically derived exact stability boundary. The approximate and exact stability b...

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Bibliographic Details
Published inDynamical systems (London, England) Vol. 24; no. 3; pp. 361 - 372
Main Authors Kyrychko, Y.N., Blyuss, K.B., Hövel, P., Schöll, E.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.09.2009
Subjects
neutral delay differential equations
spectral properties
stability
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Summary:Spectral properties and transition to instability in neutral delay differential equations are investigated in the limit of large delay. An approximation of the upper boundary of stability is found and compared to an analytically derived exact stability boundary. The approximate and exact stability borders agree quite well for the large time delay, and the inclusion of a time-delayed velocity feedback improves this agreement for small delays. Theoretical results are complemented by a numerically computed spectrum of the corresponding characteristic equations.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1468-9367
1468-9375
DOI:10.1080/14689360902893285