Central periodic points of linear systems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:272

Article

Ayala, Victor¹  Da Silva, Adriano² 

[1] Univ Tarapaca, Inst Alta Invest, Casilla 7D, Arica, Chile

[2] Univ Estadual Campinas, Inst Matemat, Cx Postal 6065, BR-13081970 Campinas, SP, Brazil

关键词: Linear systems;    Periodic points;    Control sets;   

DOI  :  10.1016/j.jde.2020.10.001

来源: Elsevier

【 摘 要 】

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. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free