Emergence of self-sustained patterns in small-world excitable media

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    Motivated by recent observations that long-range connections (LRCs) play a role in various brain phenomena, we have observed two distinct dynamical transitions in the activity of excitable media where waves propagate both between neighboring regions and through LRCs. When the LRC density p is low, single or multiple spiral waves are seen to emerge and cover the entire system. This state is self-sustaining and robust against perturbations. At p= pcl, the spirals are suppressed, and there is a transition to a spatially homogeneous, temporally periodic state. Finally, above p= pcu, activity ceases after a brief transient. © 2007 The American Physical Society.
    Original languageEnglish
    Pages (from-to)015101
    Number of pages4
    JournalPhysical Review E
    Issue number1
    Publication statusPublished - 2007
    MoE publication typeA1 Journal article-refereed


    • excitable media
    • pattern formation
    • small-world network

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