The Coupled Synchronization Of The Second-order Time-delayed Chaotic Systems

With the rapid development of modern science and technology, chaotic science is the new cross-disciplinary ,especially it is developed in the emergence of computer technology and on the basis of general applications developed. Everywhere there is chaos, with in-depth study of chaos, chaotic theory has developed rapidly. Synchronization of chaos is an important research content, and the synchronization of time-delayed system is a hot topic now. Time-delayed chaotic systems are extremely complicated nonlinear dynamic system, the analysis of the bifurcation, stability and chaotic behavior of the time-delayed chaotic systems is the importance of researching the coupled time-delayed chaotic systems. The time-delayed chaotic system is infinite dimensional systems, and it can generate multiple positive Lyapunov exponents , and it is more difficult to be analysised and controled. In this paper, the mehods of combining theoretical analysis , numerical calculation and analysis of the combination of circuit simulation are used and mainly the synchronization of the second-order time-delayed chaotic system is researched.First, we analyse the second-order time-delayed chaotic system in the theoretical. The sattractor, time-domain ,diagrams of the time-delayed chaotic system are simulated.Secondly, results are simulated by computer software calculate,and prove the feasibility of the method.Finally, the anticipated synchronization and lag synchronization are researched in the second-order time-delayed chaotic systems. Numerical calculations which are worked out by Matlab7.0 indicate the correct of the method. Currently, the anticipated synchronization and lag synchronization in the time-delayed systems are not a lot,for the research in this area can be used as the focus of future research work.