MELLIN TRANSFORMS OF CORRELATION INTEGRALS AND GENERALIZED DIMENSION OF STRANGE SETS

被引：40

作者：

BESSIS, D

FOURNIER, JD

SERVIZI, G

TURCHETTI, G

VAIENTI, S

机构：

[1] OBSERV NICE,F-06300 NICE,FRANCE

[2] UNIV BOLOGNA,DEPARTIMENTO FIS,I-40126 BOLOGNA,ITALY

来源：

PHYSICAL REVIEW A | 1987年 / 36卷 / 02期

关键词：

D O I：

10.1103/PhysRevA.36.920

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

引用

页码：920 / 928

页数：9

共 19 条

[1]

BADII R, 1984, PHYS LETT A, V107, P303

[2] ITERATED FUNCTION SYSTEMS AND THE GLOBAL CONSTRUCTION OF FRACTALS [J].

BARNSLEY, MF ;

DEMKO, S .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1985, 399 (1817) :243-275

[3] MELLIN TRANSFORMS ASSOCIATED WITH JULIA SETS AND PHYSICAL APPLICATIONS [J].

BESSIS, D ;

GERONIMO, JS ;

MOUSSA, P .

JOURNAL OF STATISTICAL PHYSICS, 1984, 34 (1-2) :75-110

[4] INVRAIANT SETS UNDER ITERATION OF RATIONAL FUNCTIONS [J].

BROLIN, H .

ARKIV FOR MATEMATIK, 1965, 6 (02) :103-&

[5]

Carleson L., 1967, SELECTED PROBLEMS EX

[6] COMPUTING THE KOLMOGOROV-ENTROPY FROM TIME SIGNALS OF DISSIPATIVE AND CONSERVATIVE DYNAMICAL-SYSTEMS [J].

COHEN, A ;

PROCACCIA, I .

PHYSICAL REVIEW A, 1985, 31 (03) :1872-1882

[7] ERGODIC-THEORY OF CHAOS AND STRANGE ATTRACTORS [J].

ECKMANN, JP ;

RUELLE, D .

REVIEWS OF MODERN PHYSICS, 1985, 57 (03) :617-656

[8]

Falconer K., 1985, GEOMETRY FRACTAL SET, DOI 10.1017/CBO9780511623738

[9]

Gradshteyn S., 1965, TABLE INTEGRALS SERI, V5th

[10] MEASURING THE STRANGENESS OF STRANGE ATTRACTORS [J].

GRASSBERGER, P ;

PROCACCIA, I .

PHYSICA D, 1983, 9 (1-2) :189-208

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