Zhukovskij Quasi-Stable Orbits of Impulsive Dynamical Systems

Jianjun Hu ^[3] ; Kehua Li ^[1] ; Zhen Luo ^[2] ; Changming Ding ^[2]
1. [1] Xiamen University of Technology
  
  Xiamen University of Technology
  
  China
2. [2] Xiamen University
  
  Xiamen University
  
  China
3. [3] Zhejiang Business College (China)
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Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 16, Nº 3, 2017, págs. 635-643
Idioma: inglés
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Resumen
- 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.