Origin of scaling on networks, structural inhomogeneity, and preference in dynamical behaviour

Bernard Kujawski; Bosiljka Tadić; G. J. Rodgers

doi:10.1117/12.724526

15 June 2007 Origin of scaling on networks, structural inhomogeneity, and preference in dynamical behaviour

Bernard Kujawski, Bosiljka Tadić, G. J. Rodgers

Proceedings Volume 6601, Noise and Stochastics in Complex Systems and Finance; 660107 (2007) https://doi.org/10.1117/12.724526
Event: SPIE Fourth International Symposium on Fluctuations and Noise, 2007, Florence, Italy

Abstract

We examine the fluctuation properties of packet traffic on scale-free networks and random graphs using two different dynamical rules for moving packets; random diffusion and a locally navigated diffusive motion with preferred edges. We find that preferential behaviour in either the topology or in the dynamics leads to the scaling of fluctuations of the number of packets passing nodes and the number of packets flowing along edges, respectively. We show that the absence of any preference results in the absence of scaling, and when scaling occurs it is non-universal with the scaling exponents depending on the acquisition time window, the network structure and the diffusion rule.

Citation Download Citation

Bernard Kujawski, Bosiljka Tadić, and G. J. Rodgers "Origin of scaling on networks, structural inhomogeneity, and preference in dynamical behaviour", Proc. SPIE 6601, Noise and Stochastics in Complex Systems and Finance, 660107 (15 June 2007); https://doi.org/10.1117/12.724526

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