异结构混沌系统同步及其在保密通信中的应用
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国家自然科学基金资助项目(60874025)


Synchronization of different structure chaotic systems and its application to secure communication
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    摘要:

    针对统一混沌系统和Qi混沌系统的模型,根据主动控制思想和Lyapunov稳定性定理,构造主动控制器使得这两个异结构的混沌系统实现同步,并且实现了驱动系统参数已知而响应系统参数未知的异结构混沌系统的自适应同步,并且能较快的辨析出系统的未知参数.并利用MATLAB进行数字仿真,将同步的异结构混沌系统应用到混沌掩盖和混沌扩频保密通信中.仿真结果表明,异结构混沌系统能够实现稳定的同步,且在混沌掩盖和混沌扩频保密通信中,有用信号均能有效地在接收端恢复出来.

    Abstract:

    Based on the idea of active control and the Lyapunov stability theory, an active controller is designed to synchronize two different chaotic systems (the unified chaotic system and Qi chaotic system). Moreover, the fast adaptive synchronization is achieved between the drive system and the response system with different structures and unknown parameters. The results are then applied to the secure communication based on chaotic masking and chaotic spread spectrum. The MATLAB is used for the numerical simulations. The simulation results show that the method can realize synchronization of two different chaotic systems and the useful signal can be recovered effectively in the receiver during the secure communication.

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李建平,刘斌,刘东南.异结构混沌系统同步及其在保密通信中的应用[J].动力学与控制学报,2010,8(4):334~337; Li Jianping, Liu Bin, Liu Dongnan. Synchronization of different structure chaotic systems and its application to secure communication[J]. Journal of Dynamics and Control,2010,8(4):334-337.

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  • 收稿日期:2010-06-11
  • 最后修改日期:2010-06-24
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