Splitting instability of cellular structures in the Ginzburg-Landau model under feedback control

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    Abstract

    We study numerically a Ginzburg-Landau-type equation for micelles in two dimensions. The domain size and the interface length of a cellular structure are controlled by two feedback terms. The deformation and the successive splitting of the cellular structure are observed when the controlled interface length is increased. The splitting instability is further investigated using coupled mode equations to understand the bifurcation structure.

    Original languageEnglish
    Article number017202
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume80
    Issue number1
    DOIs
    Publication statusPublished - Aug 6 2009

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Condensed Matter Physics

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