Abstract
The effect of the structure of a complex network on the properties of an avalanche dynamical process on it has been studied. It has been found that such a structural characteristic of the network as the degree of its assortativity (disassortativity), which is numerically expressed by the assortativity coefficient r, is a control parameter determining the properties of the dynamical process on the network.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. N. Dorogovtsev and J. F. F. Mendes, Adv. Phys. 51, 1079 (2002).
M. E. Newman, Phys. Rev. E 67, 026126 (2003).
M. E. Newman, Phys. Rev. Lett. 89, 208701 (2002).
R. Xulvi_Brunet and I. M. Sokolov, Acta Phys. Polon. B 36, 1431 (2005).
O. M. Braun and Yu. S. Kivshar, Frenkel-Kontorova Model. Conceptions, Methods, and Applications (Springer, Berlin, 2004; Fizmatlit, Moscow, 2008).
S. L. Ginzburg and N. E. Savitskaya, Phys. Rev. E 66, 026128 (2002).
S. L. Ginzburg, Zh. Eksp. Teor. Fiz. 106, 607 (1994) [JETP 79, 334 (1994)].
J. P. Sethna and C. R. Mayers, Phys. Rev. B 47, 11171 (1993).
S. N. Coppersmith, Phys. Rev. A 36, 3375 (1987).
S. L. Ginzburg, A. V. Nakin, and N. E. Savitskaya, Zh. Eksp. Teor. Fiz. 136, 1183 (2009) [JETP 109, 1022 (2009)].
Author information
Authors and Affiliations
Additional information
Original Russian Text © S.L. Ginzburg, A.V. Nakin, N.E. Savitskaya, 2009, published in Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 90, No. 12, pp. 873–878.
Rights and permissions
About this article
Cite this article
Ginzburg, S.L., Nakin, A.V. & Savitskaya, N.E. Effect of the structure of a complex network on the properties of the dynamical processes on it. Jetp Lett. 90, 775–779 (2010). https://doi.org/10.1134/S0021364009240096
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364009240096