Qualitative properties of impulsive semidynmical systems

• Grant number: 12/20933-9
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: March 01, 2013
• End date: February 28, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Everaldo de Mello Bonotto
• Grantee: Ginnara Mexia Souto
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The present project of scientific research concerns about the theory of systems which describe the evolution of process whose continuous dynamics are interrupted by abrupt changes of state. This phenomenon is called impulse. In manynatural phenomena, the real deterministic models are often described by systems which involve impulses.This project lies on the investigation of qualitative properties for impulsive semidynamicalsystems. We intend to study results about impulsive dissipative systems, recursive motions and Lyapunov functionais. The mathematical analysis of such systems employs techniques ofclassical functional analysis and dynamical system theory.

Scientific publications

(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, EVERALDO MELLO; SOUTO, GINNARA M.. ON THE LYAPUNOV STABILITY THEORY FOR IMPULSIVE DYNAMICAL SYSTEMS. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 53, n. 1, p. 127-150, MAR 2019. (12/20933-9, 16/24711-1, 14/21224-7)

BONOTTO, EVERALDO M.; GIMENES, LUCIENE P.; SOUTO, GINNARA M.. ASYMPTOTICALLY ALMOST PERIODIC MOTIONS IN IMPULSIVE SEMIDYNAMICAL SYSTEMS. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 49, n. 1, p. 133-163, MAR 2017. (12/20933-9, 14/21224-7, 14/25970-5)

BONOTTO, E. M.; GIMENES, L. P.; SOUTO, G. M.. On Jack Hale's problem for impulsive systems. Journal of Differential Equations, v. 259, n. 2, p. 642-665, JUL 15 2015. (12/20933-9, 12/16709-6)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

SOUTO, Ginnara Mexia. Qualitative properties of impulsive semidynamical systems. 2017. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.