Issue
EPL
Volume 77, Number 1, January 2007
Article Number 10004
Number of page(s) 6
Section General
DOI http://dx.doi.org/10.1209/0295-5075/77/10004
Published online 03 January 2007
EPL, 77 (2007) 10004
DOI: 10.1209/0295-5075/77/10004

Subthreshold stimulus-aided temporal order and synchronization in a square lattice noisy neuronal network

Qing Yun Wang1, 2, 3, Qi Shao Lu1 and Guan Rong Chen3

1  School of Science, Beijing University of Aeronautics and Astronautics - Beijing 100083, PRC
2  Inner Mongolia Finance and Economics College - Huhhot 010051, PRC
3  Department of Electronic Engineering, City University of Hong Kong - Hong Kong SAR, PRC

nmqingyun@163.com
qishaolu@hotmail.com

received 22 July 2006; accepted in final form 9 November 2006; published January 2007
published online 3 January 2007

Abstract
Temporal order and synchronization characterized by the rate of firing and its characteristic correlation time are studied in a spatially extended network system, which is locally modelled by a two-dimensional Rulkov map neuron with noise. For intermediate noise levels, noise-induced ordered patterns emerge spatially, which propagate through the neurons in the form of beautiful circular waves. Moreover, noise-induced temporal order and synchronization in this system can be greatly enhanced in the presence of a subthreshold stimulus with the frequency very close to the natural frequency of the map neuron. This shows that random perturbations and subthreshold stimuli play an important role in temporal order and synchronization. There exists an optimal noise level, where the temporal order and synchronization are maximum. However, it is observed that at the same time the spatial circular patterns are destroyed in the course of the enhancement of temporal order and synchronization.

PACS
05.45.Xt - Synchronization; coupled oscillators .
05.40.Ca - Noise .
05.45.-a - Fluctuation phenomena, random processes, noise, and Brownian motion .

© Europhysics Letters Association 2007