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Impulsive surfaces on dynamical systems


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Author: Bonotto, Everaldo de Mello
Bortolan, Matheus Cheque
Caraballo Garrido, Tomás
Collegari, Rodolfo
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2016-10
Published in: Acta Mathematica Hungarica, 150 (1), 209-216.
Document type: Article
Abstract: This work is devoted to the construction of impulsive sets in Rn. In the literature, there are many examples of impulsive dynamical systems whose impulsive sets are chosen in an abstract way, and in this paper we present sufficient conditions to characterize impulsive sets in Rn which satisfy some “tube conditions” and ensure a good behavior of the flow. Moreover, we present some examples to illustrate the theoretical results.
Cite: Bonotto, E.d.M., Bortolan, M.C., Caraballo Garrido, T. y Collegari, R. (2016). Impulsive surfaces on dynamical systems. Acta Mathematica Hungarica, 150 (1), 209-216.
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DOI: 10.1007/s10474-016-0631-0

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