Abstract

For a family of non-autonomous dynamical systems continuously depending on a parameter, the set of lower semicontinuous points and the set of upper semicontinuous points of the \(\varepsilon\)-capacity of its systems considered a function of the parameter are described. For the set of upper semicontinuous points, this description is complete if the parameter belongs to a complete metric separable zero-dimensional space.

中文翻译：

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连续不断地依赖参数的非自治动力系统容量的半连续点集的结构

摘要

对于连续取决于参数的一组非自治动力系统，描述了其系统的\（\ varepsilon \）容量的下半连续点集和上半连续点集 ，这些系统被视为参数的函数。对于上半连续点的集合，如果参数属于完整的度量可分离零维空间，则此描述完成。