TY - JOUR
T1 - The Chain Recurrent Set of Flow of Automorphisms on a Decomposable Lie Group
AU - Silva, Adriano Da
AU - Mamani, Jhon Eddy Pariapaza
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2025.
PY - 2025/6
Y1 - 2025/6
N2 - In this paper we show that the chain recurrent set of a flow of automorphisms on a connected Lie group coincides with the central subgroup of the flow, if the group is decomposable. Moreover, in the decomposable case, the flow satisfies the restriction property. Furthermore, the restriction of any flow of automorphisms to the connected component of the identity of its central subgroup is chain transitive.
AB - In this paper we show that the chain recurrent set of a flow of automorphisms on a connected Lie group coincides with the central subgroup of the flow, if the group is decomposable. Moreover, in the decomposable case, the flow satisfies the restriction property. Furthermore, the restriction of any flow of automorphisms to the connected component of the identity of its central subgroup is chain transitive.
KW - Chain recurrence
KW - Flow of automorphisms
KW - Lie groups
UR - https://www.scopus.com/pages/publications/105006927919
U2 - 10.1007/s10883-025-09740-5
DO - 10.1007/s10883-025-09740-5
M3 - Article
AN - SCOPUS:105006927919
SN - 1079-2724
VL - 31
JO - Journal of Dynamical and Control Systems
JF - Journal of Dynamical and Control Systems
IS - 2
M1 - 17
ER -