Pinning Control Synchronization Of Complex Dynamical Networks

Over the past twenty years, with the rapid development of modern science andtechnology, people deeper understanding of the network, complex dynamic network theoryand its application caused a boom in domestic and international research scientists.Complex dynamic networks synchronization phenomenon is one of the most commonphenomenon of nature. By designing an effective control strategy to make the network toachieve synchronization, pinning control is a very effective method. Pinning control for thestudy of complex network synchronization has important theoretical significance and goodapplication prospect. It also makes us not only to reduce the waste of resources, but alsoimprove the control efficiency.In my article is mainly based on scale-free network and small-world network, usepinning control method makes the network to achieve synchronization, and through thetheoretical calculation and numerical simulation of the specific studies of complex dynamicnetwork synchronization performance and the relationship between the network topology.My main work is divided into the following two parts:The first part, in scale-free networks model, establishes the dynamic network equation,then use Chen’s equation as a chaotic oscillator, in under control to make the scale-freenetwork to achieve synchronization, and programmed in the MATLAB software simulation,and analyzing the simulation results.The second part, pinning control method makes use of small-world network tosynchronize, for its stability analysis. And maximum values in degrees before n nodes, thenodes of the minimum value of the first n and n randomly selected nodes in a synchronousmanner for the simulation of three control network, found that the control effect andproportion and bordered probability of control parameters, and then discussed comparingwith the result of simulation, finally draw the conclusion.