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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…
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…
Affine and bilinear systems on Lie groups
Victor Ayala, Adriano Da Silva, Max Ferreira
In this paper we study affine and bilinear systems on Lie groups. We show that there is an intrinsic connection between the solutions of both systems. Such relation allows us to ob…
A Semigroup associated to a linear control system on a Lie group
Victor Ayala, Adriano da Silva
Let us consider a linear control system Σon a connected Lie group G. It is known that the accessibility set A from the identity e is in general not a semigroup. In this article we…