We introduce the concepts of S-sets and Q-sets for a flow (a group action on a compact metric space) and prove that a transitive flow is sensitive if and only if there exists an S-set with cardinality more than 2 and that each S-set of a transitive flow is a Q-set and the converse holds for minimal flows. Then according to cardinalities of S-sets, transitive flows are divided into several classes and some characterizations and relationships of different classes are given. This is a generalization of the \(\mathbb {Z}\)-action of Ye and Zhang (Nonlinearity 21:1601–1620, 2008. https://doi.org/10.1088/0951-7715/21/7/012).

我们介绍了流（紧凑度量空间上的组动作）的S集和Q集的概念，并证明当且仅当存在基数大于2的S集且该传递集是敏感的时，传递流才是敏感的传递流的每个S集都是Q集，反之，则保持最小流。然后根据S集的基数，将传递流分为几个类别，并给出了不同类别的一些表征和关系。这是Ye和Zhang的\（\ mathbb {Z} \） -动作的概括（非线性21：1601–1620，2008。https：//doi.org/10.1088/0951-7715/21/7/012 ）。