| From the actual needs, this paper focuses on the synchronization of two-dimensional time delayed chaotic system. The characteristics of the complete synchronization, complete anti-synchronization, generalized synchronization, anti-generalized synchronization and partly synchronization are analyzed by the active-passive decomposition method. The basic laws of the multiple synchronous types are researched by the theoretical analysis, mathematical simulation and electronic circuit experiments.Firstly, the dynamic behavior of the two-dimensional time delayed chaotic system is studied by the theoretical analysis and mathematical simulation, and realized through the electronic circuit experiments. In respect of the difficulty in achieving the chaotic delayed single, the filter is composed with inductance and capacitor to realize the output of the chaotic delayed single. Chaotic delayed electronic circuit is designed to produce chaotic attractor.Secondly, the complete synchronization and the generalized synchronization are analyzed by the theory and experiment. At first, the paper achieves complete synchronization system by active - passive and linear feedback, focusing on researching and implementing a system of generalized synchronization. Especially, the transformation matrix H and the synchronization control matrix K are researched deeply. Then the influence of the synchronous effect is discussed. It is enhanced the understanding of the complete synchronization and the generalized synchronization, which is significant to the research on synchronization of delayed system.Finally, according to active-passive decomposition method, it researches on characteristics of complete synchronization, anti-synchronization, generalized synchronization, anti-generalized synchronization and partly synchronization under single signal drive in order to achieve generalized synchronization of chaotic systems with delay in the application of secure communication. Based on the basic rules of multiple types of synchronization within theoretically, it tries to find out the conditions in achieving the multiple types of synchronization of the system. This study achieves the shift between complete synchronization, anti-synchronization, generalized synchronization, anti-generalized synchronization and partly synchronization of the delayed system though the constant change of the matrix H. This synchronization would change the types of synchronization system based on the needs in either regular or irregular time, and improve security strength in the system.In this paper, the theoretical analysis, mathematical model and electronic circuit are combined together. The results supply the solid theoretical and experiment basics to the practical application of the synchronization of chaotic delayed system, which have the practical and guiding significance. |
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