On oscillations in coupled dynamical systems

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73 Citations (Scopus)

Abstract

The paper deals with the problem of destabilization of diffusively coupled identical systems. It is shown that the globally asymptotically stable systems being diffusively coupled may exhibit an oscillatory behavior. It is shown that if the diffusive medium consists of hyperbolically nonminimum phase systems and the diffusive factors exceed some threshold value the origin of the overall system undergoes a Poincaré-Andronov-Hopf bifurcation resulting in oscillatory behavior.
Original languageEnglish
Title of host publicationProceedings of the 14th IFAC triennial world congress, 5-9 July 1999, Beijing, P.R. China
EditorsHan-Fu Chen, B. Wahlberg
Place of PublicationOxford
PublisherPergamon
Pages467-472
Number of pages6
ISBN (Print)0-08-043219-0
Publication statusPublished - 1999

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