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On Diffusion Driven Oscillations in Coupled Dynamical Systems
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
University of Twente, The Netherlands.
1999 (English)In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, ISSN 0218-1274, Vol. 9, no 4, 629-644 p.Article in journal (Refereed) Published
Abstract [en]

The paper deals with the problem of destabilization of diffusively coupled identical systems. It is shown that globally asymptotically stable systems being diffusively coupled, may exhibit 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 Poincare-Andronov-Hopf bifurcation resulting in oscillatory behavior.

Place, publisher, year, edition, pages
1999. Vol. 9, no 4, 629-644 p.
Keyword [en]
Stability, Oscillations, Passivity
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-95665DOI: 10.1142/S0218127499000444OAI: oai:DiVA.org:liu-95665DiVA: diva2:637184
Available from: 2013-07-16 Created: 2013-07-16 Last updated: 2017-12-06

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Glad, Torkel

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