On co-evolution and the importance of initial conditions

R. Lambiotte, J.C. Gonzlez-Avella

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    Abstract

    We present a generic threshold model for the co-evolution of the structure of a network and the binary state of its nodes. We focus on regular directed networks and derive equations for the evolution of the system toward its absorbing state. It is shown that the system displays a transition from a connected phase to a fragmented phase, and that this transition is driven by the initial configuration of the system, as different initial conditions may lead to drastically different final configurations. Computer simulations are performed and confirm the theoretical predictions.
    Original languageEnglish
    Pages (from-to)392-397
    Number of pages6
    JournalPhysica A: Statistical Mechanics and its Applications
    Volume390
    Issue number2
    DOIs
    Publication statusPublished - 15 Jan 2010

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