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Pullback attractos in impulsive evolution process

Grant number: 14/20691-0
Support Opportunities:Scholarships abroad - Research Internship - Post-doctor
Effective date (Start): March 07, 2015
Effective date (End): March 06, 2016
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal Investigator:Márcia Cristina Anderson Braz Federson
Grantee:Rodolfo Collegari
Supervisor: Tomás Caraballo Garrido
Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Research place: Universidad de Sevilla (US), Spain  
Associated to the scholarship:13/23933-2 - Pullback attractors in impulsive semidynamical systems, BP.PD


The present project of scientific research concerns about the theory of non-autonomousdynamical systems which describe the evolution of process whose continuous dynamics areinterrupted by abrupt changes of state, a phenomenon called impulse.This project lies on the investigation of qualitative properties for impulsive evolution process.We intend to generalize results from the continuous case, such as invariance and attraction ofomega-limit sets, and obtain results about the existence of pullback attractors. We intend toapply the results about pullback attraction to ordinary and partial differential equations withimpulse effects. The mathematical analysis of such systems employs techniques of topologicalmethods and dynamical system theory. (AU)

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Scientific publications (5)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
BONOTTO, E. M.; BORTOLAN, M. C.; CARABALLO, T.; COLLEGARI, R.. Upper and Lower Semicontinuity of Impulsive Cocycle Attractors for Impulsive Nonautonomous Systems. Journal of Dynamics and Differential Equations, v. 33, n. 1, . (16/24711-1, 14/20691-0)
BONOTTO, E. M.; BORTOLAN, M. C.; CARABALLO, T.; COLLEGARI, R.. Impulsive surfaces on dynamical systems. ACTA MATHEMATICA HUNGARICA, v. 150, n. 1, p. 209-216, . (14/20691-0, 13/23933-2)
BONOTTO, E. M.; BORTOLAN, M. C.; CARABALLO, T.; COLLEGARI, R.. Attractors for impulsive non-autonomous dynamical systems and their relations. Journal of Differential Equations, v. 262, n. 6, p. 3524-3550, . (14/20691-0, 14/25970-5)
BONOTTO, E. M.; BORTOLAN, M. C.; COLLEGARI, R.; CZAJA, R.. Semicontinuity of attractors for impulsive dynamical systems. Journal of Differential Equations, v. 261, n. 8, p. 4338-4367, . (14/25970-5, 14/20691-0, 13/23933-2)
BONOTTO, EVERALDO M.; BORTOLAN, MATHEUS C.; CARABALLO, TOMAS; COLLEGARI, RODOLFO. Impulsive non-autonomous dynamical systems and impulsive cocycle attractors. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 40, n. 4, p. 1095-1113, . (14/25970-5, 14/20691-0, 13/23933-2)

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