论文标题
平均阴影和粘合属性
Average shadowing and gluing property
论文作者
论文摘要
这项工作的目的是三倍:(i)扩展了不连续和不可变的系统的阴影理论,(ii)考虑更多的扰动类(例如,平均而言仅小),(iii)建立一个基于阴影具有单个扰动案例的属性的一般理论。对最后一个属性分析中使用的“胶合”结构证明是该理论的关键点。
The purpose of this work is threefold: (i) extend shadowing theory for discontinuous and non-invertible systems, (ii) consider more general classes of perturbations (for example, small only on average), (iii) establish a general theory based on the property that the shadowing holds for the case of a single perturbation. The "gluing" construction used in the analysis of the last property turns out to be the key point of this theory.