逆轨道分析法确定一维映象的拓扑熵

DETERMINATION OF THE TOPOLOGICAL ENTROPY OF ONE-DIMENSIONAL MAPS BY THE INVERSE ORBITS ANALYSIS

本文推广了文献[1]的工作,并用逆轨道分析法说明了本文所列公式的证明。据此可以算出整个参数区间中任一点上的拓扑熵值。在讨论“*”乘对拓扑熵值影响的基础上得到了一维映象拓扑熵的整体印象。

We generalize the resuits of ref. [1] , expplain the proof of the formulae shown in this paper by the method of the inverse orbits analysis. According to this, we can calculate the value of the topological entropy on any point in the whole parameter interval. On the basis of discussing the effect of '*' product on the topological entropy, we obtain the overview of the topological entropy of one-dimensional maps.