UNIVERSAL SCALING BEHAVIOR IN THE WEAKLY COUPLED MAP LATTICE

被引:10
作者
DING, EJ [1 ]
LU, YN [1 ]
机构
[1] CHINESE CTR ADV SCI & TECHNOL WORLD LAB,CTR THEORET PHYS,BEIJING,PEOPLES R CHINA
关键词
D O I
10.1016/0375-9601(92)90560-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The first Lyapunov exponent for a unimodal map lattice with very weak coupling strength is calculated. The numerical results show that there is a universal scaling relation between the first Lyapunov exponent and the coupling strength, independent of the dimension of the lattice.
引用
收藏
页码:357 / 359
页数:3
相关论文
共 16 条
[1]   SIZE DEPENDENCE, COHERENCE, AND SCALING IN TURBULENT COUPLED-MAP LATTICES [J].
BOHR, T ;
CHRISTENSEN, OB .
PHYSICAL REVIEW LETTERS, 1989, 63 (20) :2161-2164
[2]  
Bohr T., 1988, DIRECTIONS CHAOS, V2
[3]  
Collet P., 1980, ITERATED MAPS INTERV
[4]  
Cvitanovic P., 1984, UNIVERSALITY CHAOS
[5]  
Hao B.-L., 1989, ELEMENTARY SYMBOLIC
[6]  
HAO BL, 1984, CHAOS
[7]   LYAPUNOV ANALYSIS AND INFORMATION-FLOW IN COUPLED MAP LATTICES [J].
KANEKO, K .
PHYSICA D, 1986, 23 (1-3) :436-447
[8]   SUPERTRANSIENTS, SPATIOTEMPORAL INTERMITTENCY AND STABILITY OF FULLY-DEVELOPED SPATIOTEMPORAL CHAOS [J].
KANEKO, K .
PHYSICS LETTERS A, 1990, 149 (2-3) :105-112
[9]   SPATIOTEMPORAL CHAOS IN ONE-DIMENSIONAL AND TWO-DIMENSIONAL COUPLED MAP LATTICES [J].
KANEKO, K .
PHYSICA D, 1989, 37 (1-3) :60-82
[10]   SPATIOTEMPORAL INTERMITTENCY IN COUPLED MAP LATTICES [J].
KANEKO, K .
PROGRESS OF THEORETICAL PHYSICS, 1985, 74 (05) :1033-1044