Rodolfo Collegari
@ufu.br
Instituto de Matemática e Estatística
Universidade Federal de Uberlandia
RESEARCH, TEACHING, or OTHER INTERESTS
Mathematics, Analysis
Scopus Publications
Scopus Publications
M. Ap. Silva, E.M. Bonotto, R. Collegari, M. Federson, and M.C. Gadotti
Elsevier BV
Everaldo M. Bonotto, Rodolfo Collegari, Márcia Federson, and Tepper Gill
Elsevier BV
Everaldo de Mello Bonotto, Matheus Cheque Bortolan, Rodolfo Collegari, and José Manuel Uzal
Discrete and Continuous Dynamical Systems - Series B American Institute of Mathematical Sciences (AIMS)
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.
E. M. Bonotto, M. C. Bortolan, T. Caraballo, and R. Collegari
Journal of Dynamics and Differential Equations Springer Science and Business Media LLC
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 line to illustrate our results. Moreover, we present theoretical results regarding lower semicontinuity of impulsive cocycle attractors.
Everaldo M. Bonotto, Rodolfo Collegari, Márcia Federson, and Miguel V. S. Frasson
Wiley
Everaldo M. Bonotto, Rodolfo Collegari, Márcia Federson, and Jaqueline G. Mesquita
Wiley
Everaldo M. Bonotto, Rodolfo Collegari, Márcia Federson, Jaqueline G. Mesquita, and Eduard Toon
Wiley
Marielle Ap. Silva, Everaldo M. Bonotto, Rodolfo Collegari, Márcia Federson, and Maria Carolina Mesquita
Wiley
Rodolfo Collegari, Márcia Federson, and Miguel Frasson
Institute of Mathematics, Czech Academy of Sciences
Everaldo M. Bonotto, Matheus C. Bortolan, Tomás Caraballo, and Rodolfo Collegari
Wiley
In this work, we define the notions of ‘impulsive non‐autonomous dynamical systems’ and ‘impulsive cocycle attractors’. Such notions generalize (we will see that not in the most direct way) the notions of autonomous dynamical systems and impulsive global attractors in the current published literature. We also establish conditions to ensure the existence of an impulsive cocycle attractor for a given impulsive non‐autonomous dynamical system, which are analogous to the continuous case. Moreover, we prove the existence of such attractor for a non‐autonomous 2D Navier–Stokes equation with impulses, using energy estimates. Copyright © 2016 John Wiley & Sons, Ltd.
E.M. Bonotto, M.C. Bortolan, T. Caraballo, and R. Collegari
Elsevier BV
E.M. Bonotto, M.C. Bortolan, R. Collegari, and R. Czaja
Elsevier BV
E. M. Bonotto, M. C. Bortolan, T. Caraballo, and R. Collegari
Springer Science and Business Media LLC