Atratores Globais Pré-Compactos Para Sistemas Dinâmicos Impulsivos

Abstract

The present research studies the existence of global attractors for impulsive dynamical systems. It introduces initially the basic theory of semigroups, which are continuous evolutionary processes, and their properties searching for conditions to ensure the global attractor existence. It presents the impulsive dynamical systems that studies the behavior of the evolution process that undergo state variations of short duration, which can be considered instantaneous. It exhibits the definition of precompact global attractor for impulsive dynamical systems and presents results that ensure the upper and lower semicontinuity of global attractors for a family of impulsive dynamical systems.