THEORY OF THE PERIOD-DOUBLING PHENOMENON OF ONE-DIMENSIONAL MAPPINGS BASED ON THE PARAMETER DEPENDENCE

被引:11
作者
DAIDO, H
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D O I
10.1016/0375-9601(81)90974-9
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O4 [物理学];
学科分类号
0702 ;
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页码:246 / 250
页数:5
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共 13 条
[1]   ANALYTICAL CONDITIONS FOR THE APPEARANCE OF HOMOCLINIC AND HETEROCLINIC POINTS OF A TWO-DIMENSIONAL MAPPING - THE CASE OF THE HENON MAPPING [J].
DAIDO, H .
PROGRESS OF THEORETICAL PHYSICS, 1980, 63 (04) :1190-1201
[2]  
DERRIDA B, 1980, BIFURCATION PHENOMEN
[3]   QUANTITATIVE UNIVERSALITY FOR A CLASS OF NON-LINEAR TRANSFORMATIONS [J].
FEIGENBAUM, MJ .
JOURNAL OF STATISTICAL PHYSICS, 1978, 19 (01) :25-52
[4]   UNIVERSAL METRIC PROPERTIES OF NON-LINEAR TRANSFORMATIONS [J].
FEIGENBAUM, MJ .
JOURNAL OF STATISTICAL PHYSICS, 1979, 21 (06) :669-706
[5]   OPTICAL TURBULENCE - CHAOTIC BEHAVIOR OF TRANSMITTED LIGHT FROM A RING CAVITY [J].
IKEDA, K ;
DAIDO, H ;
AKIMOTO, O .
PHYSICAL REVIEW LETTERS, 1980, 45 (09) :709-712
[6]   PERIOD DOUBLING AND THE ONSET OF TURBULENCE - AN ANALYTIC ESTIMATE OF THE FEIGENBAUM RATIO [J].
MAY, RM ;
OSTER, GF .
PHYSICS LETTERS A, 1980, 78 (01) :1-3
[7]   BIFURCATIONS AND DYNAMIC COMPLEXITY IN SIMPLE ECOLOGICAL MODELS [J].
MAY, RM ;
OSTER, GF .
AMERICAN NATURALIST, 1976, 110 (974) :573-599
[8]   SIMPLE MATHEMATICAL-MODELS WITH VERY COMPLICATED DYNAMICS [J].
MAY, RM .
NATURE, 1976, 261 (5560) :459-467
[9]  
SHAW R, 1978, STRANGE ATTRACTORS C
[10]   POSSIBILITY OF CHAOTIC BEHAVIOR AND MULTI-BASINS IN FORCED GLYCOLYTIC OSCILLATIONS [J].
TOMITA, K ;
DAIDO, H .
PHYSICS LETTERS A, 1980, 79 (2-3) :133-137