10 papers
Weak convergence of robust functions on topological groups
Victor Ayala, Adriano Da Silva, Heriberto Roman-Flores
In this paper we introduce a weak version of level and epigraph convergence for level functions on topological spaces. In the particular case of topological groups we are able to d…
Jordan decomposition and the recurrent set of flows of automorphisms
Victor Ayala, Adriano Da Silva, Philippe Jouan
In this paper we show that any linear vector field on a connected Lie group admits a Jordan decomposition and the recurrent set of the associated ow of automorphi…
Central periodic points of linear systems
Victor Ayala, Adriano Da Silva
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 s…
Control sets of linear systems on semi-simple Lie groups
Victor Ayala, Adriano Da Silva, Philippe Jouan +1
In this paper we study the main properties of control sets with nonempty interior of linear control systems on semisimple Lie groups. We show that, unlike the solvable case, linear…
Dynamics on Hyperspaces
Victor Ayala, Adriano Da Silva, Heriberto Roman-Flores
Given a compact metric space (X; \varrho) and a continuous function f:X\rightarrow X, we study the dynamics of the induced map \bar{f} on the hyperspace of the compact subsets of X…
The control set of a linear control system on the two dimensional solvable Lie group
Victor Ayala, Adriano Da Silva
In this paper we explicitly calculate the control sets associated with a linear control system on the two dimensional solvable Lie group. We show that a linear control system of su…