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
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2004年 / 11卷 / 2-3期
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
  • [21] The coupling of dynamics in coupled map lattices
    Chen, JY
    Wong, KW
    Zheng, HY
    Shuai, JW
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2002, 7 (03) : 157 - 160
  • [22] Spacetime chaos in coupled map lattices
    Bunimovich, L. A.
    Sinai, Ya G.
    NONLINEARITY, 1988, 1 (04) : 491 - 516
  • [23] TRANSFER OPERATORS FOR COUPLED MAP LATTICES
    KELLER, G
    KUNZLE, M
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1992, 12 : 297 - 318
  • [24] Hysteresis studies in coupled map lattices
    Rai, R
    Singh, H
    MODERN PHYSICS LETTERS B, 1999, 13 (22-23): : 809 - 817
  • [25] BIFURCATIONS IN GLOBALLY COUPLED MAP LATTICES
    JUST, W
    JOURNAL OF STATISTICAL PHYSICS, 1995, 79 (1-2) : 429 - 449
  • [26] Feedback control in coupled map lattices
    Gade, PM
    PHYSICAL REVIEW E, 1998, 57 (06): : 7309 - 7312
  • [27] Global synchronization of coupled map lattices
    Li, Zhi
    Lee, Ju-Jang
    2007 IEEE INTERNATIONAL CONFERENCE ON MECHATRONICS AND AUTOMATION, VOLS I-V, CONFERENCE PROCEEDINGS, 2007, : 343 - +
  • [28] On phase transitions in coupled map lattices
    Just, W
    Schmüser, F
    Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems, 2005, 671 : 33 - 64
  • [29] CRITICAL CORRELATIONS IN COUPLED MAP LATTICES
    HOULRIK, JM
    JENSEN, MH
    PHYSICS LETTERS A, 1992, 163 (04) : 275 - 278
  • [30] Cascading failures in coupled map lattices
    Wang, XF
    Xu, J
    PHYSICAL REVIEW E, 2004, 70 (05):
12345