N＋d上某些族的动力学性质

DYNAMICAL PROPERTY OF FAMILY ON N＋d

一个正整数集+的子集S称作是一个强迫回归集,若对于任何一个动力系统(X,f)及X的任何一个紧致子集K,只要X中有一点x满足{fnx|nS}K,则K中必含有f的某个回归点.该文对d+(d+)的子集引入回归时间集的概念,讨论了由回归时间集所构成的族的几个特征,并且给出了它们的一个简单应用.

The definition of set of recurrence times of Nd＋ （dN＋） is introduced, and several characters of the families of sets of recurrence times are obtained. Furthermore, an application of the sets of recurrence times is provided.