Bonotto, Everaldo de MelloBortolan, Matheus ChequeCollegari, RodolfoUzal Couselo, José Manuel2024-02-082024-02-082021Everaldo de Mello Bonotto, Matheus Cheque Bortolan, Rodolfo Collegari, José Manuel Uzal. Impulses in driving semigroups of nonautonomous dynamical systems: Application to cascade systems. Discrete and Continuous Dynamical Systems - B, 2021, 26(9): 4645-4661. doi: 10.3934/dcdsb.20203061553-524X10.3934/dcdsb.2020306https://hdl.handle.net/20.500.14352/100611In this paper we investigate the long time behavior of a nonautonomous dynamical system (cocycle) when its driving semigroup is subjected to impulses. We provide conditions to ensure the existence of global attractors for the associated impulsive skew-product semigroups, uniform attractors for the coupled impulsive cocycle and pullback attractors for the associated evolution processes. Finally, we illustrate the theory with an application to cascade systems.engjournal articlehttps://doi.org/10.3934/dcdsb.2020306https://www.aimsciences.org/article/doi/10.3934/dcdsb.2020306restricted accessMatemáticas (Matemáticas)12 Matemáticas