3RD-ORDER RENORMALIZATION-GROUP CALCULATION OF THE FEIGENBAUM UNIVERSAL BIFURCATION RATIO IN THE TRANSITION TO CHAOTIC BEHAVIOR

被引:12
作者
HU, B
MAO, JM
机构
来源
PHYSICAL REVIEW A | 1982年 / 25卷 / 02期
关键词
D O I
10.1103/PhysRevA.25.1196
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
引用
收藏
页码:1196 / 1198
页数:3
相关论文
共 16 条
[1]   FEIGENBAUM RATIOS OF 2-DIMENSIONAL AREA PRESERVING MAPS [J].
DERRIDA, B ;
POMEAU, Y .
PHYSICS LETTERS A, 1980, 80 (04) :217-219
[2]  
DERRIDA B, 1978, ANN I H POINCARE A, V29, P305
[3]   UNIVERSAL METRIC PROPERTIES OF BIFURCATIONS OF ENDOMORPHISMS [J].
DERRIDA, B ;
GERVOIS, A ;
POMEAU, Y .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1979, 12 (03) :269-296
[4]   QUANTITATIVE UNIVERSALITY FOR A CLASS OF NON-LINEAR TRANSFORMATIONS [J].
FEIGENBAUM, MJ .
JOURNAL OF STATISTICAL PHYSICS, 1978, 19 (01) :25-52
[5]   UNIVERSAL METRIC PROPERTIES OF NON-LINEAR TRANSFORMATIONS [J].
FEIGENBAUM, MJ .
JOURNAL OF STATISTICAL PHYSICS, 1979, 21 (06) :669-706
[6]  
FEIGENBAUM MJ, 1979, PHYS LETT A, V74, P374
[7]   TRANSITION TO CHAOTIC BEHAVIOR VIA A REPRODUCIBLE SEQUENCE OF PERIOD-DOUBLING BIFURCATIONS [J].
GIGLIO, M ;
MUSAZZI, S ;
PERINI, U .
PHYSICAL REVIEW LETTERS, 1981, 47 (04) :243-246
[8]  
GOLLUB JP, 1980, ANN NY ACAD SCI, V357, P22
[9]  
HELLEMAN RHG, 1980, FUNDAMENTAL PROBLEMS, V5, P165
[10]  
HU B, UNPUB