On oscillations in coupled dynamical systems

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

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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.
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
StatePublished - 1999

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dynamical systems
oscillations
destabilization
thresholds

Cite this

Pogromsky, A. Y., & Nijmeijer, H. (1999). On oscillations in coupled dynamical systems. In H-F. Chen, & B. Wahlberg (Eds.), Proceedings of the 14th IFAC triennial world congress, 5-9 July 1999, Beijing, P.R. China (pp. 467-472). [Paper E-2c-19-4] Oxford: Pergamon.
Pogromsky, A.Y. ; Nijmeijer, H./ On oscillations in coupled dynamical systems. Proceedings of the 14th IFAC triennial world congress, 5-9 July 1999, Beijing, P.R. China. editor / Han-Fu Chen ; B. Wahlberg. Oxford : Pergamon, 1999. pp. 467-472
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Pogromsky, AY & Nijmeijer, H 1999, On oscillations in coupled dynamical systems. in H-F Chen & B Wahlberg (eds), Proceedings of the 14th IFAC triennial world congress, 5-9 July 1999, Beijing, P.R. China., Paper E-2c-19-4, Pergamon, Oxford, pp. 467-472.

On oscillations in coupled dynamical systems. / Pogromsky, A.Y.; Nijmeijer, H.

Proceedings of the 14th IFAC triennial world congress, 5-9 July 1999, Beijing, P.R. China. ed. / Han-Fu Chen; B. Wahlberg. Oxford : Pergamon, 1999. p. 467-472 Paper E-2c-19-4.

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

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AB - 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.

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BT - Proceedings of the 14th IFAC triennial world congress, 5-9 July 1999, Beijing, P.R. China

PB - Pergamon

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Pogromsky AY, Nijmeijer H. On oscillations in coupled dynamical systems. In Chen H-F, Wahlberg B, editors, Proceedings of the 14th IFAC triennial world congress, 5-9 July 1999, Beijing, P.R. China. Oxford: Pergamon. 1999. p. 467-472. Paper E-2c-19-4.