通过构建混沌系统在相空间内关于点群对称的混沌系统群模型,并对该混沌系统群的反同步问题进行了研究,提出了一种混沌系统群反同步控制器,实现了混沌系统群的反同步.通过实验观察,混沌系统关于点对称变换后的子系统与原系统在相空间内位置发生变化,相空间动力轨迹、空间拓扑等原系统呈现对称结构.利用上述研究结论,提出了一种反同步混沌系统群的载波通信方法,解决了具有分布式、规模大、接入信号多、并行传输等特征的现代复杂通信系统的日益迫切的通信安全问题,并以永磁同步电机混沌模型,进行了仿真和验证.仿真结果表明,所提方法具有良好的应用前景,适用于现代通信系统.%Chaotic system model about point group symmetry in the phase space was constructed, and the an-ti-synchronization problem of the chaotic system group was studied. Besides, a kind of chaotic system group an-ti-synchronization controller was proposed, and the anti-synchronization of the chaos system group was realized. Through experimental observation, the position of chaos system about the subsystem and the source system after the point symmetry transform changed in phase space. The phase space power trajectory, space topology and other original system presented symmetrical structure. By using the above research conclusions, a kind of carrier communication method of an-ti-synchronization chaos system group was put forward. It solved the increasingly urgent communication security issues of modern complex distributed and large scale communication system with many access signals and parallel transmission. In addition, with permanent magnet synchronous motor chaos model, simulation and validation were conducted. The experi-mental results show that the method has good application prospect, and is suitable for modern communication system.
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