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

    Research areas

  • excitable media, pattern formation, small-world network

ID: 3510762