Numerical investigation of noise-enhanced stability phenomenon induced by bounded noise in a single stable system

The effects of bounded noise on the stability of the single stable system are investigated by the simulation method. The results indicate that: (1) The bounded additive noise can induce the noise-enhanced stability (NES) phenomenon and the correlation intensity between bounded additive and bounded multiplicative noises λ and noise correlation time τ can enhance the NES effect for the case of the bounded additive noise induced transition; (2) The bounded multiplicative noise can also induce the NES phenomenon only for larger value of the τ, however, the λ weaken the NES effect and the τ can also enhance the NES effect for the case of the multiplicative noise induced transition.