Central periodic points of linear systems

Víctor Ayala; Adriano Da Silva

doi:10.1016/j.jde.2020.10.001

Central periodic points of linear systems

Institute of Higher Research

Universidade Estadual de Campinas

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	310-329
Number of pages	20
Journal	Journal of Differential Equations
Volume	272
DOIs	https://doi.org/10.1016/j.jde.2020.10.001
State	Published - 25 Jan 2021

Keywords

Control sets
Linear systems
Periodic points

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10.1016/j.jde.2020.10.001

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title = "Central periodic points of linear systems",

abstract = "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.",

keywords = "Control sets, Linear systems, Periodic points",

author = "V{\'i}ctor Ayala and \{Da Silva\}, Adriano",

note = "Publisher Copyright: {\textcopyright} 2020",

year = "2021",

month = jan,

day = "25",

doi = "10.1016/j.jde.2020.10.001",

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journal = "Journal of Differential Equations",

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T1 - Central periodic points of linear systems

AU - Ayala, Víctor

AU - Da Silva, Adriano

PY - 2021/1/25

Y1 - 2021/1/25

N2 - 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.

AB - 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.

KW - Control sets

KW - Linear systems

KW - Periodic points

UR - https://www.scopus.com/pages/publications/85092019696

U2 - 10.1016/j.jde.2020.10.001

DO - 10.1016/j.jde.2020.10.001

M3 - Article

AN - SCOPUS:85092019696

SN - 0022-0396

VL - 272

SP - 310

EP - 329

JO - Journal of Differential Equations

JF - Journal of Differential Equations

ER -

Central periodic points of linear systems

Abstract

Keywords

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