Gradient and dynamically gradient impulsive semigroups

• Grant number: 24/16654-4
• Support Opportunities: Scholarships in Brazil - Master
• Start date: February 01, 2025
• End date: July 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Alexandre Nolasco de Carvalho
• Grantee: Lucas Henrique Fleischmann
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 20/14075-6 - Dynamical systems and their attractors under perturbations, AP.TEM

Abstract

The present scientific research project concerns 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. Among such systems, we will qualitatively study gradient semigroups and dynamically gradient semigroups under impulsive action. The mathematical analysis of such systems employs techniques of classical functional analysis and dynamical system theory.