Synchronizing Complex Networks by an Adaptive Adjustment Mechanism
BU Shou-Liang1,2, ZHANG You-Wei1, WANG Bing-Hong2,3
1Department of Physics, Dalian University of Technology, Dalian 116024
2Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei 230026
3Shanghai Academy of System Science, Shanghai 200093
Synchronizing Complex Networks by an Adaptive Adjustment Mechanism
BU Shou-Liang1,2;ZHANG You-Wei1;WANG Bing-Hong2,3
1Department of Physics, Dalian University of Technology, Dalian 116024
2Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei 230026
3Shanghai Academy of System Science, Shanghai 200093
Abstract： We propose an adaptive adjustment mechanism for synchronizing complex networks, in particular for sociological or/and biological systems. We do not take it for granted that a dynamical system is put on isolated nodes and they are coupled with each other by one (or more) variable(s), as employed in most previous models. As a replacement, we suppose that each node may have any finite number of possible states, and their evolutions with time are determined by their nearest-neighbouring (or even second-nearest-neighbouring, etc) nodes in an adaptive adjustment mechanism. It is found that synchronization can be achieved for almost all connected networks and that the scale-free property can evidently improve the synchronizing speed.
2006, Vol. 23 
