Technical Report CMS-TR-20050927

Title	How Crucial is Small World Connectivity for Dynamics?
Author/s	Prashant M. Gade Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411 007 India Sudeshna Sinha The Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai 600 113, India
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.
Keywords
Download	[358K pdf]
Citing This Document	Prashant M. Gade, and Sudeshna Sinha , How Crucial is Small World Connectivity for Dynamics? . Technical Report CMS-TR-20050927 of the Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411007, India (2005); available at http://scms.unipune.ac.in/reports/.
Notes, Published Reference, Etc.	Published as International Journal of Bifurcation and Chaos 16, 2767-2775 (2006) Also available as arXiv:nlin/0405049
Contact	gade AT scms.unipune.ac.in
Supplementary Material