A novel method for identification of state transition based on the van der Pol-Duffing oscillator in weak signal detection

In this paper, we introduce the principle of identifying state transition based on the Van der Pol-Duffing oscillator in weak signal detection, which demonstrate the importance to indicate external perturbation existence and detect weak signal accurately. Starting from analyzing the insufficiency of employing classical identification methods occurring in the detecting process, we put forward a novel identification method named region analyzation method to improve the deficiency. Then, an establishment and feasibility analysis of this proposed method are described exhaustively. Numerical experiments on merits of this proposed method that is compared with the classical methods are carried out. The results indicate that this proposed method has better identifying capability than the classical methods and provides extendibility to engineering application.