Achieving synchronization of networks by an auxiliary hubD. Huang1, 2 and G. Pipa2, 3
1 Department of Mathematics, Shanghai University - Shanghai 200444, PRC
2 Department of Neurophysiology, Max Planck Institute for Brain Research - 60528 Frankfurt, Germany
3 Frankfurt Institute for Advanced Studies - 60438 Frankfurt, Germany
received 16 October 2006; accepted in final form 23 January 2007; published March 2007
published online 26 February 2007
In this letter, we study complete synchronization in quite generic networks of coupled oscillators, where both the connectivity topology and coupling mechanism may be arbitrary. We propose a method, i.e., introducing an auxiliary hub which decreases the average path length and meanwhile increases the clustering coefficient of the network, to achieve complete synchronization. We demonstrate that the method is successful in synchronizing some classical network models, which cannot synchronize intrinsically. That is, a network, which itself is impossible to synchronize, can adaptively achieve the complete synchronization by introducing an auxiliary hub. The present results give insights on how the network structure influences the synchronizability and how the synchronization of generic networks can be achieved regardless of their own complexity.
05.45.Xt - Synchronization; coupled oscillators.
89.75.-k - Complex systems.
87.18.Sn - Neural networks.
© Europhysics Letters Association 2007