Adriano Da Silva, Jhon Eddy Pariapaza Mamani
Published 2025-01-06Version 1
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.
Bowen-Franks groups as conjugacy invariants for $\mathbb{T}^{n}$ automorphisms
Rigorous numerical models for the dynamics of complex Henon mappings on their chain recurrent sets
Priestley duality and representations of recurrent dynamics
![QR code for arXiv:2501.03177 [math.DS]](http://oss.arxitics.com/images/favicon.svg)