RT Journal Article T1 Impulses in driving semigroups of nonautonomous dynamical systems: Application to cascade systems A1 Bonotto, Everaldo de Mello A1 Bortolan, Matheus Cheque A1 Collegari, Rodolfo A1 Uzal Couselo, José Manuel AB In 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. PB AIMS SN 1553-524X YR 2021 FD 2021 LK https://hdl.handle.net/20.500.14352/100611 UL https://hdl.handle.net/20.500.14352/100611 LA eng NO Everaldo 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.2020306 DS Docta Complutense RD 10 abr 2025