Limit Cycle Behaviour of the Bump-on-Tail Instability

P. A. E. M. Janssen, Jens Juul Rasmussen

    Research output: Contribution to journalJournal articleResearchpeer-review


    The nonlinear dynamics of the bump‐on‐tail instability is considered. The eigenmodes have discrete k because of finite periodic boundary conditions. Increasing a critical parameter (the number density) above its neutral stable value by a small fractional amount Δ2, one mode becomes unstable. The nonlinear dynamics of the unstable mode is determined by means of the multiple time scale method. Usually, limit cycle behavior is found. A short comparison with quasi‐linear theory is given, and the results are compared with experiment.
    Original languageEnglish
    JournalPhysics of Fluids
    Issue number2
    Pages (from-to)268-273
    Publication statusPublished - 1981


    Dive into the research topics of 'Limit Cycle Behaviour of the Bump-on-Tail Instability'. Together they form a unique fingerprint.

    Cite this