Volume 87, Number 1, July 2009
Article Number 18006
Number of page(s) 5
Section Interdisciplinary Physics and Related Areas of Science and Technology
Published online 17 July 2009
EPL, 87 (2009) 18006
DOI: 10.1209/0295-5075/87/18006

Universal dynamics on complex networks

Wen-Xu Wang1, Liang Huang1 and Ying-Cheng Lai1, 2

1   Department of Electrical Engineering, Arizona State University - Tempe, AZ 85287, USA
2   Department of Physics and Astronomy, Arizona State University - Tempe, AZ 85287, USA

received 7 April 2009; accepted in final form 22 May 2009; published July 2009
published online 17 July 2009

We uncover a class of universal dynamics on weighted complex networks. In particular, we find that by incorporating a universal weighting scheme into real-world networks, the topological details of various real-world networks, whether biological, physical, technological, or social, have little influence on typical dynamical processes such as synchronization, epidemic spreading, and percolation. This striking finding is demonstrated using a large number of real-world networks and substantiated by analytic considerations. These findings make possible generic and robust control strategies for a variety of dynamical processes on complex networks.

89.75.Hc - Networks and genealogical trees.
89.20.Hh - World Wide Web, Internet.
05.10.-a - Computational methods in statistical physics and nonlinear dynamics.

© EPLA 2009