Movimentos recorrentes e quase periódicos em sistemas semidinâmicos impulsivos

Abstract

In this work, we study the theory of impulsive semidynamic systems theory. These systems describe the evolution processes subject to quickly variations of state, and can be considered instantaneous. In the first part of this work is introduced the theory of semidynamic systems. These are not subject to variations of state because they are continuous. In the second part are presented the impulsive semi-dynamic systems, a generalization of the theory of impulsive semi-dynamic systems. To study the almost periodic recurrent movements of the impulsive semi-dynamic systems, in the third and fourth part, concepts of minimal sets, asymptotic points and Zhukoviskij stability are studied.