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math.DS2018
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…
math.DS2018
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…