【作者】 付士慧；

【导师】 何连法；

【作者基本信息】 河北师范大学 ， 基础数学， 2003， 硕士

【摘要】 本文目的是研究紧致度量空间上极小连续半流的拓扑动力性质。为此，我们首先建立了它与其时间1映射极小集的联系；然后，利用这种联系证明了：若时间1映射为开映射，则它是极小的连续流，并且一般地说来，对任意极小连续半流，存在不变的剩余集，使得它在这不变集上的限制是极小的连续流。最后，我们指出，任意不可逆极小的连续半流是一极小连续流的因子，且在紧致二维流形上不存在不可逆极小的连续半流。更多还原

【Abstract】 In this paper, we study the topological dynamical properties of the minimal continuous semi flow on a compact metric space. Firstly, we connect the minimal continuous semi-flow with the minimal sets of its time-one map. Secondly, by using the connection, we prove that the minimal continuous semi-flow is the minimal continuous flow if its time-one map is open, and for any minimal continuous semi-flow, there is an invariant residual set such that the restriction to the set is a minimal continuous flow. Finally, we show that any noninvertiblely, minimal continuous semi-flow is the factor of a minimal continuous flow, and there is no noninvertiblely, minimal continuous semi-flow on the two-dimensional compact manifold.更多还原