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Chaos Synchronization of the Laser Network Based on the Lyapunov Exponent Criterion

Author: ShenNa
Tutor: LvZuo
School: Liaoning Normal University
Course: Theoretical Physics
Keywords: complex network chaos synchronization Bragg acousto-optic bistable system phase position conjugate wave the largest index
CLC: O157.5
Type: Master's thesis
Year: 2012
Downloads: 4
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Abstract


Complex networks generally exist in actual production and life, and are essential to people’s daily life even the development of a country’s politics, economy and culture, such as the Internet, transportation networks, social networks, the national electric networks, ecological networks and so on. Therefore, the networks and their contents have gradually become a hot topic of issue in research areas in recent years. Especially networks synchronization and controlling have been a great deal of attention, and has been actively and enthusiastically explored.The definition of complex networks, the basic concepts and models together with their features, the significance of the research, development prospects etc. are briefly presented in the first and second chapters of the article, and the chaotic synchronization, the criterion and methods of networks synchronization are further studied. The chaos synchronization of complex networks are mainly studied in the third and the fourth chapters. First, a theoretical analysis is made based on chaos synchronization experiments of Bragg acousto-optic bistable system, Bragg acousto-optic bistable systems are taken as network nodes, a chain network of one-directional coupling driven, whose chaos synchronization scheme is proposed. The chaotic output synchronization condition is got through simulating the maximum Lyapunov exponent of network nodes, and the maximum Lyapunov exponent as the chaos synchronization criterion effectively popularized. Chaos synchronization exists not only in an inner network, but also in an outer network. An outer network synchronization is further studied between complex networks based on the research of an inner network synchronization. An one-direction coupling regular ring network and a chain network are determined as examples, Matlab is used in simulation to obtain the synchronization condition, maximum Lyapunov exponent of all the nodes are achieved as criterion of the net works synchronization. Bragg acousto-optic bistable system and the phase conjugate wave are selected as network nodes to simulate, and stable network synchronization results are got. The correctness and validity of the principle of network synchronization are verified via the analysis of simulation results, what’s more, the method is universal and practical. In addition, the method of synchronization is intuitive and straightforward, and of good stability during the course of the synchronization.

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