Near periodicity and Zhukovskij stability
- 数学科学－已发表论文 
In this paper, we prove pairwise equivalence between near periodicity, Poisson stability, recurrence and nonwandering of a point with Zhukovskij stability. In a locally compact phase space, a periodic point is nearly periodic if and only if it is Zhukovskij stable. Also, it is shown that for a nearly periodic system each orbit closure is minimal and stable.