Pullback attractos in impulsive evolution process

• Grant number: 14/20691-0
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: March 07, 2015
• End date: 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
• Institution abroad: Universidad de Sevilla (US), Spain
• Associated to the scholarship: 13/23933-2 - Pullback attractors in impulsive semidynamical systems, BP.PD

Abstract

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)

Scientific publications

(5)

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

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, OCT 2016. (14/20691-0, 13/23933-2)

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, OCT 15 2016. (14/25970-5, 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, MAR 15 2017. (14/20691-0, 14/25970-5)

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, MAR 15 2017. (14/25970-5, 14/20691-0, 13/23933-2)

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, DEC 2019. (16/24711-1, 14/20691-0)