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中文摘要：
研究了带有平方项的非线性系统在确定性周期外力和有界随机噪声激励下，系统安全盆的侵蚀现象，并提出了随机安全盆分叉的概念。计算表明，由于随机扰动的影响，系统的随机安全盆分叉点发生了偏移。而增加系统的阻尼，减小系统的非线性强度，可以增大系统的安全盆区域。
英文摘要：
The erosion of the safe basins of a nonlinear oscillator under harmonic or hounded random noise is studied in detail by the Monte-Carlo method. As an alternative definition, stochastic bifurcation may be defined as a sudden change in the character of the stochastic safe basins when the bifurcation parameter of the system passes through a critical value. This definition applies equally well either to randomly perturbed motions, or to purely deterministic motions. It is founded that random noise may destroy the integrity of the safe basins and bring forward the occurrence of the stochastic bifurcation, hence make the system less safe, however, this can be improved by increasing the system＇s damp and decreasing the system＇s nonlinearity.
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