Global attractors for impulsive dynamical systems - a precompact approach

Author(s)

Bonotto, E. M. ^[1] ; Bortolan, M. C. ^[1] ; Carvalho, A. N. ^[1] ; Czaja, R. ^{[2, 3]}

Affiliation

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil

^[2] Univ Lisbon, Inst Super Tecn, Dept Math, Ctr Math Anal Geometry & Dynam Syst, P-1049001 Lisbon - Portugal

^[3] Univ Silesia, Inst Math, PL-40007 Katowice - Poland

• Document type: Journal article
• Source: Journal of Differential Equations; v. 259, n. 7, p. 2602-2625, OCT 5 2015.
• Web of Science Citations: 16

Abstract

In this work we give the definition of a global attractor of an impulsive dynamical system and obtain several important properties for this class of attractors. We prove the theorem on existence of such attractors and apply it to chosen ordinary and partial differential equations with impulsive functions. (C) 2015 Elsevier Inc. All rights reserved. (AU)

• FAPESP's process: 12/16709-6 - Non-autonomous systems with impulses: convergent systems and the Navier-Stokes Equation
• Grantee: Everaldo de Mello Bonotto
• Support Opportunities: Regular Research Grants
• FAPESP's process: 12/23724-1 - Asymptotical dynamics of evolution processes
• Grantee: Matheus Cheque Bortolan
• Support Opportunities: Scholarships in Brazil - Post-Doctoral