A survey on impulsive dynamical systems

Electronic Journal of Qualitative Theory of Differential Equations

Matheus Bortolan¹  Rodolfo Collegari²  Everaldo Bonotto²  Tomas Caraballo³ 

[1] Departamento de Matematica, Universidade Federal de Santa Catarina, Campus Trindade, Florianópolis, Brazil;Instituto de Ciencias Matematicas e de Computaçao, Universidade de Sao Paulo, Campus de Sao Carlos, Sao Carlos, SP, Brazil;Universidad de Sevilla, Sevilla, Spain;

关键词: impulsive dynamical systems;    global attractors;    nonautonomous dynamical systems;    cocycle attractors;    navier-stokes equation;   

DOI  :  10.14232/ejqtde.2016.8.7

来源: DOAJ

【 摘 要 】

In this survey we provide an introduction to the theory of impulsive dynamical systems in both the autonomous and nonautonomous cases. In the former, we will show two different approaches which have been proposed to analyze such kind of dynamical systems which can experience some abrupt changes in their evolution (impulses). But, unlike the autonomous framework, the nonautonomous one is being developed right now and some progress is being obtained over the recent years. We will provide some results on how the theory of autonomous impulsive dynamical systems can be extended to cover such nonautonomous situations, which are more often to occur in the real world.

【 授权许可】

Unknown