Abstract:Stochastic resonance is an important technique applied in weak signal detection. The timedelayed feedback ecological vegetation growth (EVG) system driven by weak periodic signals and additive white Gaussian noise is used as a model to carry out detailed stochastic resonance phenomenon analysis, and is applied to weak signal detection and bearing fault diagnosis in this paper. Firstly, the FokkerPlanck equation is used to deduce the equivalent potential function and further obtain the expression of the system signaltonoise ratio. Then the correlation curve diagrams are used to concretely analyze the influence of different system parameters on potential function and signaltonoise ratio. The study results show that adjusting the system parameters, signal amplitude and noise intensity all can induce the timedelayed EVG system to generate the stochastic resonance phenomenon. Finally, through adjusting the parameters and using the stochastic resonance method of timedelayed feedback EVG system, it is successfully detected that the target frequency of the weak signal is 001 Hz and its amplitude is 2 978; and the obvious peak values are detected at the fault characteristic frequencies of the inner and outer rings of the bearing.