Centre for Modeling and Simulation
Savitribai Phule Pune University All Models Are False, Some Are Useful

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.
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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://cms.unipune.ernet.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 cms.unipune.ernet.in
Supplementary Material


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