On oscillations in coupled dynamical systems

Alexander Yu. Pogromsky, Torkel Glad, Henk Nijmeijer

    Research output: Contribution to journalConference articleAcademicpeer-review

    82 Citations (Scopus)


    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-Hopfbifurcation resulting in oscillatory behavior.
    Original languageEnglish
    Pages (from-to)2592-2597
    JournalIFAC proceedings volumes
    Issue number2
    Publication statusPublished - 1999


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