Adaptive Synchronization Of Complex Dynamic Networks

Synchronization problem of complex dynamic network is a hot issue and hasbeen widely used. In this year, with the rapid development of simulation capabilitiesand the constantly improve of corresponding theoretical basis, the synchronization ofcomplex networks are widely used in the Internet, biotechnology, science and evenautomated social, and it has played a positive role for their development. Adaptiveapproach between network nodes is a way to quickly implement synchronization ofcomplex dynamic network. It can adapt to the practical application and have greatresearch value.In this paper, based on the NW small-world dynamic network model and BAscale dynamic network model, each node in the network to join the chaotic attractor,constitute chaotic network system, achieve network status synchronization viaadaptive control method. The main content of this paper is divided into the followingthree parts:First, we give a brief introduction of some basic parameters nature and thetypical characteristics model of the complex network, and summarize studies thelatest developments of related to the complex dynamic network synchronization since2005. Introduce the general approach of complex network synchronization, focuses onthe description of specific programs and principles of the adaptive synchronization.Second, we construct complex dynamic network model, design adaptivecontroller, write complex dynamic network status equation and achieve adaptivesynchronization of the network status. We use the Lyapunov stability theorem toprove and analysis steady state and synchronization solution of complex network.Finally, based on the NW small-world dynamic network model and BA scaledynamic network model, each node in the network to join the lorenz attractor,constitute chaotic network system, design adaptive controller, and make motion stateof each node control a steady state in the network, discuss and analysis simulationresults.