COUPLED ANALYTIC-MAPS

被引:55
作者
BRICMONT, J [1 ]
KUPIAINEN, A [1 ]
机构
[1] HELSINKI UNIV,DEPT MATH,SF-00014 HELSINKI,FINLAND
关键词
D O I
10.1088/0951-7715/8/3/005
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a lattice of weakly coupled expanding circle maps. We construct, via a cluster expansion of the Perron-Frobenius operator, an invariant measure for these infinite dimensional dynamical systems which exhibits space-time chaos.
引用
收藏
页码:379 / 396
页数:18
相关论文
共 28 条
[1]  
[Anonymous], 1994, CHAOS FRACTALS NOISE
[2]  
BLANK M, 1993, RUSSIAN ACAD SCI DOK, V47, P1
[3]  
BLANK ML, PERIODICITY PERIODIC
[4]  
Brydges DC, 1984, CRITICAL PHENOMENA R, P129
[5]   Spacetime chaos in coupled map lattices [J].
Bunimovich, L. A. ;
Sinai, Ya G. .
NONLINEARITY, 1988, 1 (04) :491-516
[6]  
BUNIMOVICH LA, PROBLEM STABILITY LA
[7]  
BUNIMOVICH LA, 1993, P GRAN FINALE CHAOS
[8]  
BUNIMOVICH LA, 1993, THEORY APPLICATIONS
[9]  
COLLET P, 1995, IN PRESS CIMPA SUMME
[10]   PATTERN-FORMATION OUTSIDE OF EQUILIBRIUM [J].
CROSS, MC ;
HOHENBERG, PC .
REVIEWS OF MODERN PHYSICS, 1993, 65 (03) :851-1112