The evolution of chaotic state of Lorenz system on the familiar parameter space orbit is analyzed.Based on the principle of chaos suppression with nonresonant parametric drive,the model of detecting weak periodic signals in strong noise is built.According to the parametric equivalent relationship obtained using averaging method and renormalization method,the critical values of detection parameters are determined,which lead to a sudden change of system dynamical behavior from periodic orbit to stable equilibrium point.Simulation results show that weak periodic signals in strong noise can be detected accurately with the proposed system.The method can obtain accurate range of parameter threshold through theoretical analysis,and the detection criterion is rather simple,which is more convenient for automatic detection.
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