移位映射提升的拓扑熵及σ的一类混沌集

Topological eneropy of the elevating of shift map and a kind of scrambled sets of shift map

研究了移位映射在提升以后的混沌性质 ,即把移位映射的混沌集向幂集上拓展 ,给出σ的一类Li-Yorke混沌集定义及以S为混沌集的充分条件 。

In this paper,discussing the scrambled properties after the shift map has been elevated,meaning that had the serambled set of shift map extended to power set and gives a kind of scrambled sets of σ ,sufficience andition is scrambled set,and topological eneropy of the elevating of σ.