关于超空间非自治动力系统敏感依赖性的一些研究

摘要

旨在讨论非自治动力系统和其对应超空间非自治动力系统上的敏感依赖性。研究了非自治动力系统敏感依赖性和其对应超空间非自治动力系统敏感依赖性之间的蕴含关系。得到了一个使得(超空间)非自治动力系统敏感依赖性在其任意次迭代系统上得以保持的充分条件。%In this paper we mainly talk about the non-autonomous dynamical system and its hyperspace system. We study the relation between non-autonomous dynamical system and its hyperspace system in the aspect of sensitive. If the system is sensitive, we also have a sufficient condition to ensure its iterative system is sensitive, too.