Pinning controllability of asymmetrical weighted scale-free networksYanli 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