Universal dynamics on complex networksWen-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