The Stability of Vortex Arrays on Double Concentric Circles

Shin Ichiro Yanase, Kiyoshi Kohno

    Research output: Contribution to journalArticlepeer-review


    The stability of double circular arrays of vortices is investigated where each array consists of Appoint vortices of equal strength.The permanent configurations of the arrays are found to need the vortices of different strength on a different array depending on the distance between the arrays.The linear stability of the configurations is investigated for several values of N,and it is found that the configuration is stable for N=2 and 3 and there exist almost stable arrangements for N=4, 5 and 6.The nonlinear stability of the vortex configurations is numerically studied, and it is found that linearly stable configurations are stable against finite amplitude disturbances and the almost linearly stable configurations are also stable for small amplitude disturbances.

    Original languageEnglish
    Pages (from-to)3385-3394
    Number of pages10
    Journaljournal of the physical society of japan
    Issue number10
    Publication statusPublished - 1984

    ASJC Scopus subject areas

    • Physics and Astronomy(all)


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