| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Tarapaca, Inst Alta Invest, Casilla 7D, Arica - Chile
[2] Univ Estadual Campinas, Inst Matemat, Cx Postal 6065, BR-13081970 Campinas, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 272, p. 310-329, JAN 25 2021. |
| Web of Science Citations: | 0 |
| 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. (C) 2020 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 18/10696-6 - Control systems on Lie groups and homogeneous spaces |
| Grantee: | Adriano João da Silva |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 18/13481-0 - Geometry of control, dynamical and stochastic systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |