On oscillations in coupled dynamical systems

Authors :: Pogromsky, A.Y.
Nijmeijer, H.
Chen, Han-Fu
Wahlberg, B.
Control Systems
Control Systems Technology
Mechanical Engineering
Source :: Proceedings of the 14th IFAC triennial world congress, 5-9 July 1999, Beijing, P.R. China, 467-472, STARTPAGE=467;ENDPAGE=472;TITLE=Proceedings of the 14th IFAC triennial world congress, 5-9 July 1999, Beijing, P.R. China
Publication Year :: 1999
Publisher :: Pergamon, 1999.
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.

Language :: English
Database :: OpenAIRE
Journal :: Proceedings of the 14th IFAC triennial world congress, 5-9 July 1999, Beijing, P.R. China, 467-472, STARTPAGE=467;ENDPAGE=472;TITLE=Proceedings of the 14th IFAC triennial world congress, 5-9 July 1999, Beijing, P.R. China
Accession number :: edsair.narcis........e2efa0da58ca51b0a3321b85289acc97