论文标题
多频系统中噪声引起的第一积分的噪声诱导的扩散近似
Diffusion approximation for noise-induced evolution of first integrals in multifrequency systems
论文作者
论文摘要
我们考虑在一个可以引入动力角型坐标的区域中动态系统的快速振荡。在适当的时间尺度上，在假设resonance tori足够小的假设中描述了第一融合演化的扩散近似。如果可以仅在零件上引入动作角度坐标，则应在开放的书籍空间上考虑限制扩散过程。这种过程可以由差分运算符描述，每个页面上都有一个，并在开放书籍的绑定中得到了一些粘合条件。
We consider fast oscillating perturbations of dynamical systems in regions where one can introduce action-angle type coordinates. In an appropriate time scale, a diffusion approximation of the first-integrals evolution is described under the assumption that the set of resonance tori is small enough. If the action-angle coordinates can be introduced just piece-wise , the limiting diffusion process should be considered on an open book space. Such a process can be described by differential operators, one on each page, supplemented by some gluing conditions on the binding of the open book.
