论文标题

线性系统的中央周期点

Central periodic points of linear systems

论文作者

Ayala, Victor, Da Silva, Adriano

论文摘要

在本文中,我们介绍了线性系统的中心周期点的概念,这是轨道上的轨道,在系统的中央子组开始。我们证明,仅当中央子组紧凑时,该集合才受到界限。此外,如果系统接收一个控件集,该控制集包含$ g $的身份元素,则中央周期点的集合与其内部相吻合。

In this paper, we introduce the concept of central periodic points of a linear system as points which lies on orbits starting and ending at the central subgroup of the system. We show that this set is bounded if and only if the central subgroup is compact. Moreover, if the system admits a control set containing the identity element of $G$ then, the set of central periodic points, coincides with its interior.

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