International Journal of Mathematics and Mathematical Sciences
Volume 7 (1984), Issue 1, Pages 181-185
doi:10.1155/S0161171284000181

Stable P and distal dynamical systems

Abstract

In this paper we study the behavior of dynamical systems in uniform space which are Poisson stable and distal. The main results are that the trajectories of such motions are closed and every almost periodic motion is stable P and distal. In complete uniform space, this motion is periodic, Lagrange stable and recurrent.