How crucial is small world connectivity for dynamics?

Gade, Prashant M. ; Sinha, Sudeshna (2006) How crucial is small world connectivity for dynamics? International Journal of Bifurcation and Chaos in Applied Sciences and Engineeringy and Applications, 16 (9). pp. 2767-2775. ISSN 0218-1274

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Official URL: http://www.worldscinet.com/ijbc/16/1609/S021812740...

Related URL: http://dx.doi.org/10.1142/S0218127406016458

Abstract

We study the dynamical behavior of the collective field of chaotic systems on small world lattices. Coupled neuronal systems as well as coupled logistic maps are investigated. We observe that significant changes in dynamical properties occur only at a reasonably high strength of nonlocal coupling. Further, spectral features, such as signal-to-noise ratio (SNR), change monotonically with respect to the fraction of random rewiring, i.e. there is no optimal value of the rewiring fraction for which spectral properties are most pronounced. We also observe that for small rewiring, results are similar to those obtained by adding small noise.

Item Type:Article
Source:Copyright of this article belongs to World Scientific Publishing Company.
Keywords:Coupled Neuronal Systems; Coupled Maps; Small World Networks; Signal-to-noise Ratio
ID Code:60925
Deposited On:12 Sep 2011 09:40
Last Modified:18 May 2016 10:51

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