MEASURING RENYI DIMENSIONS BY A MODIFIED BOX ALGORITHM

被引：16

作者：

BARTH, A

BAUMANN, G

NONNENMACHER, TF

机构：

[1] Dept. of Math. Phys., Ulm Univ.

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 02期

关键词：

D O I：

10.1088/0305-4470/25/2/018

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Two different origins of statistical errors in multifractal analysis by the box algorithm are investigated. We propose a modified box algorithm reducing the statistical errors and allowing a more accurate estimation of the region where power law scaling is present.

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收藏

页码：381 / 391

页数：11

相关论文

共 9 条

[1] CHARACTERIZATION OF STRANGE ATTRACTORS [J].

GRASSBERGER, P ;

PROCACCIA, I .

PHYSICAL REVIEW LETTERS, 1983, 50 (05) :346-349

[2] UNSTABLE PERIODIC-ORBITS AND THE DIMENSIONS OF MULTIFRACTAL CHAOTIC ATTRACTORS [J].

GREBOGI, C ;

OTT, E ;

YORKE, JA .

PHYSICAL REVIEW A, 1988, 37 (05) :1711-1724

[3] FRACTAL MEASURES AND THEIR SINGULARITIES - THE CHARACTERIZATION OF STRANGE SETS [J].

HALSEY, TC ;

JENSEN, MH ;

KADANOFF, LP ;

PROCACCIA, I ;

SHRAIMAN, BI .

PHYSICAL REVIEW A, 1986, 33 (02) :1141-1151

[4]

HOLZFUSS J, 1985, DIMENSIONS ENTROPIES, P114

[5] SOME RELATIONS BETWEEN DIMENSION AND LYAPOUNOV EXPONENTS [J].

LEDRAPPIER, F .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 81 (02) :229-238

[6]

LEVEN RW, 1989, CHAOS DISSIPATIVE SY

[7] DIMENSION OF STRANGE ATTRACTORS [J].

RUSSELL, DA ;

HANSON, JD ;

OTT, E .

PHYSICAL REVIEW LETTERS, 1980, 45 (14) :1175-1178

[8]

THEILER J, 1989, MEASURES COMPLEXITY, P199

[9]

Vicsek T., 1989, FRACTAL GROWTH PHENO