ON THE ESTIMATION OF TOPOLOGICAL-ENTROPY

被引：77

作者：

NEWHOUSE, S ^{[1
]}

PIGNATARO, T ^{[1
]}

机构：

[1] CUNY,DEPT MATH,NEW YORK,NY 10031

来源：

JOURNAL OF STATISTICAL PHYSICS | 1993年 / 72卷 / 5-6期

关键词：

TOPOLOGICAL ENTROPY; VOLUME GROWTH; ENTROPY; LENGTH GROWTH; DYNAMICAL SYSTEM;

D O I：

10.1007/BF01048189

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a method for estimating the topological entropy of a smooth dynamical system. Our method is based on estimating the logarithmic growth rates of suitably chosen curves in the system. We present two algorithms for this purpose and we analyze each according to its strengths and pitfalls. We also contrast these with a method based on the definition of topological entropy, using (n, epsilon)-spanning sets.

引用

页码：1331 / 1351

页数：21

共 20 条

[1] GENERALIZED DIMENSIONS, ENTROPIES, AND LIAPUNOV EXPONENTS FROM THE PRESSURE FUNCTION FOR STRANGE SETS [J].