非自治动力系统中m-敏感依赖性的研究

Non-autonomous topological dynamical systems are a highly important area of study within the broader field of topological dynamics, and sensitivity is a key property in dynamical systems. This paper aims to extend the existing results and properties related to sensitivity in autonomous dynamical systems to the context of non-autonomous topological dynamical systems, specifically investigating the properties and conclusions of $m$-sensitivity. The primary approach involves utilizing the definition of sensitivity and combining it with relevant knowledge of topological dynamical systems to provide a complete proof of the conclusions related to $m$-sensitivity in non-autonomous topological dynamical systems. This research represents an important extension of the sensitivity properties in autonomous topological dynamical systems, and contributes to a deeper understanding of non-autonomous topological dynamical systems.