COMPUTING THE TOPOLOGICAL-ENTROPY OF MAPS OF THE INTERVAL WITH 3 MONOTONE PIECES

被引：22

作者：

BLOCK, L

KEESLING, J

机构：

[1] Department of Mathematics, University of Florida, Gainesville, 32611, Florida

来源：

JOURNAL OF STATISTICAL PHYSICS | 1992年 / 66卷 / 3-4期

关键词：

TOPOLOGICAL ENTROPY; PIECEWISE MONOTONE MAP; CHAOTIC DYNAMIC SYSTEM; KNEADING MATRIX;

D O I：

10.1007/BF01055699

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An algorithm is presented for computing the topological entropy of a piecewise monotone map of the interval having three monotone pieces. The accuracy of the algorithm is discussed and some graphs of the topological entropy obtained using the algorithm are displayed. Some of the ideas behind the algorithm have application to piecewise monotone functions with more than three monotone pieces.

引用

页码：755 / 774

页数：20

共 8 条

[1] A COMPLETE CLASSIFICATION OF THE PIECEWISE MONOTONE-FUNCTIONS ON THE INTERVAL [J].