HAUSDORFF DIMENSION FROM THE MINIMAL SPANNING TREE

被引：8

作者：

MARTINEZ, VJ

DOMINGUEZTENREIRO, R

ROY, LJ

机构：

[1] UNIV AUTONOMA MADRID,DEPT FIS TEOR,E-28049 MADRID,SPAIN

[2] UNIV ZARAGOZA,DEPT FIS APLICADA,E-50009 ZARAGOZA,SPAIN

来源：

PHYSICAL REVIEW E | 1993年 / 47卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.47.735

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

A technique to estimate the Hausdorff dimension of strange attractors, based on the minimal spanning tree of the point distribution, is extensively tested in this work. This method takes into account in some sense the infimum requirement appearing in the definition of the Hausdorff dimension. It provides accurate estimates even for a low number of data points and it is especially suited to high-dimensional systems.

引用

页码：735 / 738

页数：4

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