Open Access

Table 1

The stochastic stability analysis

Condition State Category Conclusion
Attract natural boundary The trivial solution of Eq. (33) is stable in the sense of probability, and the original system with stochastic excitation is probabilistic stable at the balance point.
Exclude natural boundary
Exclude natural boundary The trivial solution of Eq. (33) is unstable in the sense of probability, and the original system with stochastic excitation is probabilistic unstable at the balance point.
Attract natural boundary
Strict natural boundary Critical condition of system bifurcation.

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