Volume 78, Number 6, June 2007
|Number of page(s)||5|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||01 June 2007|
Ordering spatiotemporal chaos in discrete neural networks with small-world connections
College of Physics and Electronic Engineering, Guangxi Normal University - Guilin 541004, China
Corresponding author: firstname.lastname@example.org
Accepted: 8 May 2007
We investigate ordering of spatiotemporal chaos in two-dimensional map neuron (2DMN) networks with small-world (SW) connections, in which each neuron exhibits chaotic spiking-bursting behavior, focusing on the dependence of the spatiotemporal evolution on the topological randomness p. It is found that as the randomness p is increased, the chaotic spiking bursts become appreciably and more and more synchronized in space and coherent in time, and the maximal spatiotemporal order appears at a particular value of randomness p. However, if the randomness p is further increased, the temporal regularity is apparently destroyed, although spatial synchronization is enhanced. These phenomena imply that topological randomness can tame the spatiotemporal chaos in the 2DMN networks with SW connections. The comparison between this work and previous studies is made and it is found that the 2DMN network with small-world connections captures well the maximal spatiotemporal order. Our results may provide a useful tip for understanding the properties of collective dynamics in coupled real neurons.
PACS: 87.18.Sn – Neural networks / 05.45.Xt – Synchronization; coupled oscillators / 89.75.Hc – Networks and genealogical trees
© Europhysics Letters Association, 2007
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