Orbital stability and Zhukovskiǐ quasi-stability in impulsive dynamical systems

Abstract In this article, we deal with orbital stability and Zhukovskiǐ quasi-stability of periodic or recurrent orbits in an impulsive dynamical system defined the n -dimensional Euclidean space R n {{\mathbb{R}}}^{n} . We show that for a orbit system, its asymptotically is equivalent to quasi-stability, orbit, quasi-stability.