Weak almost periodic motions, minimality and stability in impulsive semidynamical systems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:256

Article

Bonotto, E. M.¹  Jimenez, M. Z.¹ 

[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP, Brazil

关键词: Impulsive systems;    Semidynamical systems;    Stability;    Recurrence;    Minimality;    Attractor;   

DOI  :  10.1016/j.jde.2013.11.010

来源: Elsevier

【 摘 要 】

In this paper, we study topological properties of semidynamical systems whose continuous dynamics are interrupted by abrupt changes of state. First, we establish results which relate various concepts as stability of Lyapunov, weakly almost periodic motions, recurrence and minimality. In the sequel, we study the stability of Zhukovskij for impulsive systems and we obtain some results about uniform attractors. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free