Resumen de Zhukovskij Quasi-Stable Orbits of Impulsive Dynamical Systems

Jianjun Hu, Kehua Li, Zhen Luo, Changming Ding

• This paper deals with the Zhukovskij quasi-stability of an orbit in a planar impulsive dynamical system. We prove that if the positive limit set of an orbit is an asymptotically stable limit cycle (an isolated periodic orbit), then the orbit is uniformly asymptotically Zhukovskij quasi-stable. Also, we prove that if an orbit is not eventually periodic and its positive limit set is a periodic orbit, then it is asymptotically Zhukovskij quasi-stable.