Lyapunov functions in discontinuous systems

• Grant number: 14/21224-7
• Support type: Regular Research Grants
• Duration: February 01, 2015 - January 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal researcher: Everaldo de Mello Bonotto
• Grantee: Everaldo de Mello Bonotto
• Home 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 many natural phenomena, the real deterministic models are often described by systems which involve impulses.This project lies on the investigation of qualitative properties for impulsive semidynamical systems. We intend to study results about attractors for impulsive systems via Lyapunov functions. The mathematical analysis of such systems employs techniques of topological methods and dynamical system theory. (AU)

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. Web of Science Citations: 0.

BONOTTO, E. M.; COSTA FERREIRA, J.; FEDERSON, M. UNIFORM ASYMPTOTIC STABILITY OF A DISCONTINUOUS PREDATOR-PREY MODEL UNDER CONTROL VIA NON-AUTONOMOUS SYSTEMS THEORY. DIFFERENTIAL AND INTEGRAL EQUATIONS, v. 31, n. 7-8, p. 519-546, JUL-AUG 2018. Web of Science Citations: 1.

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. Web of Science Citations: 2.