Coupled map lattices without cluster expansion

被引:7
|
作者
Keller, G
Liverani, C
机构
[1] Univ Erlangen Nurnberg, Math Inst, D-91054 Erlangen, Germany
[2] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
关键词
coupled map lattice; transfer operator; spectral gap; exponential decay of correlations; spatio-temporal chaos;
D O I
10.3934/dcds.2004.11.325
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present an approach to the investigation of the statistical properties of weakly coupled map lattices that avoids completely cluster expansion techniques. Although here it is implemented on a simple case we expect similar strategies to be applicable in a much larger class of situations.
引用
收藏
页码:325 / 335
页数:11
相关论文
共 50 条
  • [31] Bifurcations in Globally Coupled Map Lattices
    Just, W.
    Journal of Statistical Physics, 79 (1-2):
  • [32] Heterogeneous, weakly coupled map lattices
    Sotelo Herrera, Ma Dolores
    San Martin, Jesus
    Porter, Mason A.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 36 : 549 - 563
  • [33] SPATIOTEMPORAL INTERMITTENCY IN COUPLED MAP LATTICES
    KANEKO, K
    PROGRESS OF THEORETICAL PHYSICS, 1985, 74 (05): : 1033 - 1044
  • [34] Coupled map lattices as computational systems
    Holden, A. V.
    Tucker, J. V.
    Zhang, H.
    Poole, M. J.
    CHAOS, 1992, 2 (03) : 367 - 376
  • [35] Coupled map lattices: at the age of maturity
    Bunimovich, LA
    DYNAMICS OF COUPLED MAP LATTICES AND OF RELATED SPATIALLY EXTENDED SYSTEMS, 2005, 671 : 9 - 32
  • [36] Experimental system of coupled map lattices
    Ma, Yu-Han
    Huang, Lan-Qing
    Sun, Chu-Min
    Li, Xiao-Wen
    FRONTIERS OF PHYSICS, 2015, 10 (03) : 339 - 342
  • [37] COHERENT STRUCTURES IN COUPLED MAP LATTICES
    JOHN, JK
    AMRITKAR, RE
    PHYSICAL REVIEW E, 1995, 51 (05): : 5103 - 5105
  • [38] COUPLED MAP LATTICES AS CELLULAR AUTOMATA
    CHATE, H
    MANNEVILLE, P
    JOURNAL OF STATISTICAL PHYSICS, 1989, 56 (3-4) : 357 - 370
  • [39] Fitness landscapes for coupled map lattices
    Noelle Driver
    Michael Frame
    Journal of Biological Physics, 2021, 47 : 215 - 235
  • [40] The spectrum of weakly coupled map lattices
    Baladi, V
    Esposti, MD
    Isola, S
    Jarvenpaa, E
    Kupiainen, A
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1998, 77 (06): : 539 - 584