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

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

2007-01-06

arxiv.org/abs/cond-mat/0701121v1

Physical Review E, 76, 015101(R) (2007)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 5 figures

Scientific paper

10.1103/PhysRevE.76.015101

Motivated by recent observations that long-range connections (LRC) 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 LRC. When 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 $p=p_c^l$ the spirals are suppressed and there is a transition to a spatially homogeneous, temporally periodic state. Finally, above $p=p_c^u$, activity ceases after a brief transient.

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