Pullback attractors to impulsive evolution processes: Applications to differential equations and tube conditions

Autor: José Manuel Uzal, M.C. Bortolan

Publikováno v: Discrete & Continuous Dynamical Systems - A. 40:2791-2826

We define the notions of impulsive evolution processes and their pullback attractors, and exhibit conditions under which a given impulsive evolution process has a pullback attractor. We apply our results to a nonautonomous ordinary differential equat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cdbfe6892faecaf3f265850f65322b04
https://doi.org/10.3934/dcds.2020150

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Upper and Lower Semicontinuity of Impulsive Cocycle Attractors for Impulsive Nonautonomous Systems

Autor: M.C. Bortolan, Rodolfo Collegari, Everaldo de Mello Bonotto, Tomás Caraballo

Publikováno v: idUS. Depósito de Investigación de la Universidad de Sevilla
instname
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
idUS: Depósito de Investigación de la Universidad de Sevilla
Universidad de Sevilla (US)

In this work we present results to ensure a weak upper semicontinuity for a family of impulsive cocycle attractors of nonautonomous impulsive dynamical systems, as well as an example of nonautonomous dynamical system generated by an ODE in the real l

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11925ebf3866081c7cc910a1ec072374
https://doi.org/10.1007/s10884-019-09815-5

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Attractors for impulsive non-autonomous dynamical systems and their relations

Autor: Tomás Caraballo, Everaldo de Mello Bonotto, Rodolfo Collegari, M.C. Bortolan

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

In this work, we deal with several different notions of attractors that may appear in the impulsive non-autonomous framework and we explore their relationships to obtain properties regarding the different scenarios of asymptotic dynamics, such as the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c61cb7aeb0685f74268bdce29b7033aa
https://doi.org/10.1016/j.jde.2016.11.036