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.
|Title of host publication||Proceedings of the 14th IFAC triennial world congress, 5-9 July 1999, Beijing, P.R. China|
|Editors||Han-Fu Chen, B. Wahlberg|
|Place of Publication||Oxford|
|Number of pages||6|
|Publication status||Published - 1999|