Bin FAN(范彬), Niao-qing HU(胡茑庆), Xiao-fei ZHANG(张晓飞)
School of Mechatronics Engineering and Automation, National Unive rsity of Defense Technology, Changsha 410073, China
Abstract-The evolution of chaotic state of Lorenz system on t he familiar parameter space orbit is analyzed. Based on the principle of chaos s uppression with nonresonant parametric drive, the model of detecting weak period ic signals in strong noise is built. According to the parametric equivalent rela tionship obtained using averaging method and renormalization method, the critica l values of detection parameters are determined, which lead to a sudden change o f system dynamical behavior from periodic orbit to stable equilibrium point. Sim ulation results show that weak periodic signals in strong noise can be detected accurately with the proposed system. The method can obtain accurate range of par ameter threshold through theoretical analysis, and the detection criterion is ra ther simple, which is more convenient for automatic detection.
Key words-Lorenz system; weak signal detection; nonreso nant parametric drive; chaos suppression
Manuscript Number: 1674-8042(2011)01-0006-03
dio: 10.3969/j.issn.1674-8042.2011.01.02
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