Effects Of Bounded Noises On Mean First Passage Time In Mono Stable Systems

In this thesis, I studied the effects of bounded noise on the stability of the Mono-stable systems.First of all, the research background,stochastic dynamics theory, bounded noise, noise enhanced stability effect and research status were introduced. Than, the effect of cross-correlated sine-wiener noise on the stabil-ity of the Mono-stable systems is analysis by simulation calculation for Mean First-Passage Time.The results show that the (1) The Mean First-Passage Time as the change of additive noise and multiplicative noise intensity curve show a peak structure, it’s a a significant symbol of Noise Enhanced Stability effec-t.So both additive noise and multiplicative noise can induce NES effect. (2)In the case of additive noise, when the noise intensity of cross correlation values increase, the Mean First-Passage Time corresponding peak increases gradually. It shows that the noise intensity of cross correlation to NES effect of additive noise induced enhancement effect. (3)In the case of multiplicative noise, when the noise intensity of cross correlation values increase, the Mean First-Passage Time corresponding peak reduces gradually. It shows that the noise intensity of cross correlation to NES effect of additive noise induced reduction effect. (4) When the noise time of cross correlation values increase, the Mean First-Passage Time corresponding peak increases gradually. It shows that the noise time of cross correlation to NES effect induced enhancement effect.(5)the bounded noise enhenced the NES effect more than Gaussian noise.