UNSTABLE PERIODIC-ORBITS AND THE DIMENSION OF CHAOTIC ATTRACTORS

被引：65

作者：

GREBOGI, C

OTT, E

YORKE, JA

机构：

[1] UNIV MARYLAND,DEPT PHYS,COLLEGE PK,MD 20742

[2] UNIV MARYLAND,INST PHYS SCI & TECHNOL,COLLEGE PK,MD 20742

[3] UNIV MARYLAND,DEPT MATH,COLLEGE PK,MD 20742

来源：

PHYSICAL REVIEW A | 1987年 / 36卷 / 07期

关键词：

D O I：

10.1103/PhysRevA.36.3522

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

引用

页码：3522 / 3524

页数：3

共 10 条

[1] EXPLORING CHAOTIC MOTION THROUGH PERIODIC-ORBITS [J].

AUERBACH, D ;

CVITANOVIC, P ;

ECKMANN, JP ;

GUNARATNE, G ;

PROCACCIA, I .

PHYSICAL REVIEW LETTERS, 1987, 58 (23) :2387-2389

[2] PERIODIC POINTS AND MEASURES FOR AXIOM-A DIFFEOMORPHISMS [J].

BOWEN, R .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 154 (FEB) :377-&

[3] THE DIMENSION OF CHAOTIC ATTRACTORS [J].

FARMER, JD ;

OTT, E ;

YORKE, JA .

PHYSICA D-NONLINEAR PHENOMENA, 1983, 7 (1-3) :153-180

[4] GENERALIZED DIMENSIONS OF STRANGE ATTRACTORS [J].

GRASSBERGER, P .

PHYSICS LETTERS A, 1983, 97 (06) :227-230

[5] CRITICAL EXPONENT OF CHAOTIC TRANSIENTS IN NONLINEAR DYNAMIC-SYSTEMS [J].

GREBOGI, C ;

OTT, E ;

YORKE, JA .

PHYSICAL REVIEW LETTERS, 1986, 57 (11) :1284-1287

[6] 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

[7] THE INFINITE NUMBER OF GENERALIZED DIMENSIONS OF FRACTALS AND STRANGE ATTRACTORS [J].

HENTSCHEL, HGE ;

PROCACCIA, I .

PHYSICA D, 1983, 8 (03) :435-444

[8]

Kaplan J.L., 1979, LECT NOTE MATH, P228

[9]

Mandelbrot B. B., 1982, FRACTAL GEOMETRY NAT

[10]

Young L-S., 1982, ERGOD THEOR DYN SYST, V2, P109, DOI [10.1017/S0143385700009615, DOI 10.1017/S0143385700009615)]

← 1 →