Global structure in spatiotemporal chaos of the Matthews-Cox equations

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    Abstract

    We find that an amplitude death state and a spatiotemporally chaotic state coexist spontaneously in the Matthews-Cox equations and this coexistence is robust. Although the entire system is far from equilibrium, the domain wall between the two states is stabilized by a negative-feedback effect due to a conservation law. This is analogous to the phase separation in conserved systems that exhibit spinodal decompositions. We observe similar phenomena also in the Nikolaevskii equation, from which the Matthews-Cox equations were derived. A Galilean invariance of the former equation corresponds to the conservation law of the latter equations.

    Original languageEnglish
    Article number025201
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume76
    Issue number2
    DOIs
    Publication statusPublished - Aug 13 2007

    All Science Journal Classification (ASJC) codes

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

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