论文标题
噪声引起的强稳定
Noise-induced strong stabilization
论文作者
论文摘要
我们考虑了极性坐标的二维随机微分方程，具体取决于几个参数。我们表明，如果这些参数属于特定的制度，则确定系统在有限的时间内爆炸，但是与随机方程相对应的随机动态系统不仅非常完整，而且甚至接收随机吸引子。
We consider a 2-dimensional stochastic differential equation in polar coordinates depending on several parameters. We show that if these parameters belong to a specific regime then the deterministic system explodes in finite time, but the random dynamical system corresponding to the stochastic equation is not only strongly complete but even admits a random attractor.
