Dynamical quorum sensing and clustering dynamics in a population of spatially distributed active rotators

Hidetsugu Sakaguchi, Satomi Maeyama

    Research output: Contribution to journalArticlepeer-review

    7 Citations (Scopus)

    Abstract

    A model of clustering dynamics is proposed for a population of spatially distributed active rotators. A transition from excitable to oscillatory dynamics is induced by the increase of the local density of active rotators. It is interpreted as dynamical quorum sensing. In the oscillation regime, phase waves propagate without decay, which generates an effectively long-range interaction in the clustering dynamics. The clustering process becomes facilitated and only one dominant cluster appears rapidly as a result of the dynamical quorum sensing. An exact localized solution is found to a simplified model equation, and the competitive dynamics between two localized states is studied numerically.

    Original languageEnglish
    Article number024901
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume87
    Issue number2
    DOIs
    Publication statusPublished - Feb 15 2013

    All Science Journal Classification (ASJC) codes

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

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