论文标题
平均阴影重新审视
Average shadowing revisited
论文作者
论文摘要
我们提出了一种新颖的统一方法,以研究在各种扰动下的一系列动力学系统(尤其是不连续和不可变的)的阴影特性。与已知的结构区别开来,我们的方法是局部的:它基于胶合属性,该属性考虑了单个(不一定小)扰动下的阴影。
We propose a novel unifying approach to study the shadowing property for a broad class of dynamical systems (in particular, discontinuous and non-invertible) under a variety of perturbations. In distinction to known constructions, our approach is local: it is based on the gluing property which takes into account the shadowing under a single (not necessarily small) perturbation.