SCALING EXPONENTS, RELATIONS, AND ORDER DEPENDENCE FOR CIRCLE MAPS

被引：11

作者：

ALSTROM, P ^{[1
]}

LEVINSEN, MT ^{[1
]}

RASMUSSEN, DR ^{[1
]}

机构：

[1] HC ORSTED INST,PHYS LAB,DK-2100 COPENHAGEN O,DENMARK

来源：

PHYSICA D | 1987年 / 26卷 / 1-3期

关键词：

D O I：

10.1016/0167-2789(87)90233-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：336 / 346

页数：11

共 18 条

[1] FRACTAL STRUCTURE OF THE COMPLETE DEVILS STAIRCASE IN DISSIPATIVE SYSTEMS DESCRIBED BY A DRIVEN DAMPED-PENDULUM EQUATION WITH A DISTORTED POTENTIAL [J].

ALSTROM, P ;

LEVINSEN, MT .

PHYSICAL REVIEW B, 1985, 32 (03) :1503-1511

[2] MAP DEPENDENCE OF THE FRACTAL DIMENSION DEDUCED FROM ITERATIONS OF CIRCLE MAPS [J].

ALSTROM, P .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 104 (04) :581-589

[3] SCALING RELATIONS AT THE CRITICAL LINE AND THE PERIOD-DOUBLING ROUTE FOR THE SINE MAP AND THE DRIVEN DAMPED PENDULUM [J].

ALSTROM, P ;

CHRISTIANSEN, B ;

HYLDGAARD, P ;

LEVINSEN, MT ;

RASMUSSEN, R .

PHYSICAL REVIEW A, 1986, 34 (03) :2220-2233

[4] JOSEPHSON JUNCTION AT THE ONSET OF CHAOS - A COMPLETE DEVILS STAIRCASE [J].

ALSTROM, P ;

LEVINSEN, MT .

PHYSICAL REVIEW B, 1985, 31 (05) :2753-2758

[5]

ARNOLD VI, 1985, ORDINARY DIFFERENTIA

[6] ONE-DIMENSIONAL ISING-MODEL AND THE COMPLETE DEVILS STAIRCASE [J].

BAK, P ;

BRUINSMA, R .

PHYSICAL REVIEW LETTERS, 1982, 49 (04) :249-251

[7]

BAK P, 1983, PHYS REV B, V27, P5824

[8] QUASI-PERIODICITY IN DISSIPATIVE SYSTEMS - A RENORMALIZATION-GROUP ANALYSIS [J].

FEIGENBAUM, MJ ;

KADANOFF, LP ;

SHENKER, SJ .

PHYSICA D, 1982, 5 (2-3) :370-386

[9]

Herman M, 1977, LECT NOTES MATH, P271

[10]

Hua L.-K., 1982, INTRO NUMBER THEORY

← 1 2 →