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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
4 pages, 5 figures

Keywords

Disordered Systems and Neural Networks, Pattern Formation and Solitons

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/158156

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0701121
 http://arxiv.org/abs/cond-mat/0701121
 Physical Review E, 76, 015101(R) (2007)
 doi:10.1103/PhysRevE.76.015101

Collections

arXiv