The Research Of Function Projective Synchronization For Complex Dynamic Network

Recent decade, the research of the complex network has become more and moreimportant with the new cross discipline which is the complex network and the rapiddevelopment of science and technology. Due to the chaotic signals have thesecharacteristics, they are the non periodic, similar noise and the unpredictable, it isanti interception ability, so it is very conducive to the realization of securecommunication. In the secure communication, if the useful information which insertsin the chaotic signal is recovered, the chaotic synchronization is an importantproblem that we study. We make each node of the complex network represents achaotic system, then synchronization problem of chaotic synchronization betweennodes is the synchronization problem of complex network, so the research ofcomplex network in secure communication field has important theoreticalsignificance and practical application value. Currently most of the research of thecomplex network synchronization are complete synchronization, in order to improvethe security of the secure communication of complex networks, by makingsynchronous network is more complex to increase the deciphering difficulty of theinterceptor, therefore this paper investigates the function projective synchronizationof complex network. In this paper, the main content is as follows:Based on integer order calculus, we investigates the modified functionprojective synchronization of complex network. Under the network parameters areunknown and the time delay, we investigates modified function projectivesynchronization of the complex, and proposed the corresponding adaptivesynchronization method. Finally, based on the fourth-order runge-kutta method, theuse of the Matlab numerical simulation to validate the effectiveness of the proposedmethod. Based on fractional order calculus, we investigates the modified functionprojective synchronization of complex network. Under the time delay and externaldisturbance, based on Laypunov stability theory and the stability principle offractional order system. we investigates modified function projective synchronizationof the complex, and proposed the corresponding adaptive synchronization method.Finally, based on the fractional order differential numerical solution method, theforecast correction method, the use of the Matlab numerical simulation to validatethe effectiveness of the proposed method.