1 citations · 1 across the 3 of their papers we have counts for
7 papers
Linear control systems on a 4D solvable Lie group used to model primary visual cortex
Adriano Da Silva, Eyüp Kizil, Victor Ayala
In this article, we study linear control systems on a 4-dimensional solvable Lie group. Our motivation stems from the model introduced in \cite{baspinar}, which presents a precise…
Dynamics of LCSs on the group of proper motions
Victor Ayala, Adriano Da Silva, Alejandro Otero Robles
This article describes the control behavior of any linear control systems on the group of proper motions . It characterizes the controllability property and the control sets…
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…