THE INFINITE NUMBER OF GENERALIZED DIMENSIONS OF FRACTALS AND STRANGE ATTRACTORS

被引：1798

作者：

HENTSCHEL, HGE

PROCACCIA, I

机构：

来源：

PHYSICA D | 1983年 / 8卷 / 03期

关键词：

D O I：

10.1016/0167-2789(83)90235-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

收藏

页码：435 / 444

页数：10

相关论文

共 23 条

[1] BALATONI J, 1956, PUBL MATH I HUNGARIA, V1, P9
[2] FARMER JD, PREPRINT
[3] QUANTITATIVE UNIVERSALITY FOR A CLASS OF NON-LINEAR TRANSFORMATIONS
FEIGENBAUM, MJ
[J]. JOURNAL OF STATISTICAL PHYSICS, 1978, 19 (01) : 25 - 52
[4] UNIVERSAL METRIC PROPERTIES OF NON-LINEAR TRANSFORMATIONS
FEIGENBAUM, MJ
[J]. JOURNAL OF STATISTICAL PHYSICS, 1979, 21 (06) : 669 - 706
[5] ON DETERMINING THE DIMENSION OF CHAOTIC FLOWS
FROEHLING, H
CRUTCHFIELD, JP
FARMER, D
PACKARD, NH
SHAW, R
[J]. PHYSICA D, 1981, 3 (03): : 605 - 617
[6] ON THE HAUSDORFF DIMENSION OF FRACTAL ATTRACTORS
GRASSBERGER, P
[J]. JOURNAL OF STATISTICAL PHYSICS, 1981, 26 (01) : 173 - 179
[7] CHARACTERIZATION OF STRANGE ATTRACTORS
GRASSBERGER, P
PROCACCIA, I
[J]. PHYSICAL REVIEW LETTERS, 1983, 50 (05) : 346 - 349
[8] GRASSBERGER P, PHYSICA D
[9] IMPRACTICALITY OF A BOX-COUNTING ALGORITHM FOR CALCULATING THE DIMENSIONALITY OF STRANGE ATTRACTORS
GREENSIDE, HS
WOLF, A
SWIFT, J
PIGNATARO, T
[J]. PHYSICAL REVIEW A, 1982, 25 (06): : 3453 - 3456
[10] Hardy G. H., 1952, MATH GAZ