Impulses in driving semigroups of nonautonomous dynamical systems: application to cascade systems
| Autor: | José Manuel Uzal, M.C. Bortolan, Rodolfo Collegari, Everaldo de Mello Bonotto |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Pure mathematics Mathematics::Dynamical Systems Dynamical systems theory Mathematics::Operator Algebras Semigroup Applied Mathematics 010102 general mathematics Pullback attractor Dynamical system 01 natural sciences SEMIGRUPOS (COMBINATÓRIA) 010101 applied mathematics Cascade Attractor Discrete Mathematics and Combinatorics 0101 mathematics |
| Zdroj: | Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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