Abstract
The method of the weak signal detection using the Duffing oscillator's initial conditions sensitivity was analyzed, the existing transition process would affect the detection capability. Then an improved method was presented. In order to compare this two method, the inputting false noise expression and the calculate step selection in simulation were researched, and the simulation models were established. This new method has better capability through analyzing the detection experimental results in the typical noise intensity background. The experiments shows that the Duffing oscillator in special critical chaos state is also sensitive to noise, which illustrates the difficulty in exactly deciding the minimal amplitude by state phase change, and the limitation of the phase change methods was discussed.
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