Europhys. Lett.
Volume 72, Number 5, December 2005
Page(s) 712 - 718
Section General
Published online 28 October 2005
Europhys. Lett., 72 (5), pp. 712-718 (2005)
DOI: 10.1209/epl/i2005-10298-4

Persistency of noise-induced spatial periodicity in excitable media

M. Perc

Department of Physics, Faculty of Education, University of Maribor Koroska cesta 160, SI-2000 Maribor, Slovenia

received 24 May 2005; accepted in final form 3 October 2005
published online 28 October 2005

We study effects of spatiotemporal additive noise in conjunction with subthreshold travelling waves on the spatial dynamics of excitable media. We show that solely additive noise is able to extract an inherent spatial periodicity of the media in a resonant manner, thus marking the existence of spatial coherence resonance in the studied system. Next, in addition to noise, we introduce to the media excitatory waves to investigate the possibility of spatial stochastic resonance. We find that the solely noise-induced inherent spatial periodicity of the media cannot be altered by the spatial frequency of the waves. This so-called persistency of inherent spatial periodicity is attributed to the noise-robust excursion time that is characteristic for the local excitable dynamics.

05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
05.45.-a - Nonlinear dynamics and nonlinear dynamical systems.
89.75.Kd - Patterns.

© EDP Sciences 2005