Volume 84, Number 5, December 2008
Article Number 58005
Number of page(s) 6
Section Interdisciplinary Physics and Related Areas of Science and Technology
Published online 16 December 2008
EPL, 84 (2008) 58005
DOI: 10.1209/0295-5075/84/58005

Pinning controllability of asymmetrical weighted scale-free networks

Yanli Zou1, 2 and Guanrong Chen2

1   College of Physics and Electronic Engineering, Guangxi Normal University - Guilin 541004, China
2   Department of Electronic Engineering, City University of Hong Kong - Hong Kong SAR, China

received 26 May 2008; accepted in final form 29 October 2008; published December 2008
published online 16 December 2008

This letter studies the pinning controllability of asymmetrical weighted scale-free networks, in which every individual node is a chaotic Lorenz system. The selective pinning scheme, which gives the control priority to those nodes with largest numbers of connections, is adopted. Study shows that a dynamical network of this type can be controlled via selective pinning only when the proportion p of the controlled nodes exceeds a critical value pc; and the network pinning controllability is enhanced as p increases for p > pc. This study also reveals the effects of the weights and the topologies of this type of networks on their pinning controllability, showing that pinning controllability of a network can be improved with an asymmetrical weight distribution, where the couplings from older nodes to younger ones are dominant, with a larger average connectivity or with a more heterogeneous connection distribution.

89.75.Hc - Networks and genealogical trees.
05.45.Gg - Control of chaos, applications of chaos.
05.45.Xt - Synchronization; coupled oscillators .

© EPLA 2008