华沙圈上的一些动力学性质(英文)

The dynamical properties on maps of the Warsaw circle

设W为一个华沙圈,f为W到其自身的连续自映射,本文主要研究f的一些动力学性质,首先证明了f是传递的当且仅当f是D evaney混沌;其次证明了逐点回归映射是恒等映射;最后,得到华沙圈上拓扑序列熵具有交换性.

Let W be a Warsaw circle and f： W→W be a continuous map. In this paper some dynamical properties of f are studied. Firstly,it is shown that f is topological transitivity if and only, if f is Devaney chaotic. Secondly ,the pointwise recurrent Warsaw circle maps are the identity map and that ha （f·g）=hA（g·f） for each increasing sequences of positive integers A.