Experiment Of Generalized Projective Synchronization For Time-delay Chaotic Circuits

Time-delay chaotic systems are widely applied to nature, engineering, humanity and many other areas because of its better performance in secret communication. Research on synchronization of time-delay chaotic systems has always been a hot topic. Based on Rossler’s theory of time-delay chaotic systems and the neurons time-delay chaotic systems,the generalized projective-synchronization of chaotic systems is studied from perspectives of theoretical analysis, numerical calculation and circuit experiment.First of all, the background during the development of the chaos theory and its synchronization method is introduced. And then the dynamic characteristic of Rossler’s third-order time-delay chaotic systems and neurons time-delay chaotic systems are analyzed,to materialize the delay chaotic systems by using of electronic circuits, and observes the experimental phenomena from times cycle to chaos. Secondly, based on Rossler’s theory of time-delay chaotic systems, To achieve the projective synchronization between the drive system and response system was achieved, including lagging projective synchronization and predict projective synchronization by means of state observer’s synchronization method.According to the feedback coupling synchronization scheme, the synchronization of chaotic system, lagging synchronization of neurons, predict and forecast the synchronization with the gait were discussed in this paper. Circuit experiment results are in consistent with the results of theoretical analysis and numerical calculation. Finally, A new kind of generalized heterochronous synchronization phenomenon is introduced. By the control of the projective matrix and time delay, the generalized heterochronous synchronization phenomena are realized between two unidirectionally coupled time-delayed chaotic systems, generalized anticipated, isochronous and lag projective synchronization are included.The feasibility of delay chaotic circuit has promoted the application of chaos theory in actual life to a great degree. Thus, there are certainly both theoretical value and practical significance lying in this paper.