On stable oscillations and equilibriums induced by small noise
On stable oscillations and equilibriums induced by small noise
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DOI：
10.1023/a:1004827921214
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发表时间：
2001-04-01
影响因子：
1.6
通讯作者：
Freidlin, MI
中科院分区：
文献类型：
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作者：
Freidlin, MI
我们考虑了一个轻粒子在力场受小鼻子扰动时的运动。如果粒子的质量和噪声强度之间存在某种关系，粒子的运动将接近于周期振荡或稳定平衡，而没有噪声就不存在这种平衡。我们研究了各种类型的随机扰动。特别是，我们考虑的问题，这些影响的计算机模拟和计算的校正项时出现的高斯扰动被取代的简单的随机游走。这些是随机共振型效应，其数学描述基于大偏差理论。
We consider the motion of a light particle when the force field is perturbed by ii small nose. If a certain relation between the mass of the particle and the noise intensity holds, the motion of the particle will be close to periodic oscillations or to a stable equilibrium which do not exist without the noise. We study various classes of random perturbations. In particular, we consider the question of computer simulation of these effects and calculate the correction term which appears when the Gaussian perturbations are replaced by the simple random walk. These are the stochastic-resonance-type effects, and their mathematical description is based on the large deviation theory.