Scaling properties of spatially extended chaotic systems

被引：0
|
作者：
Szendro, I. G. [1 ]
Lopez, J. M.
机构：
[1] UC, CSIC, Inst Fis Cantabria, IFCA, Santander 39005, Spain
[2] Univ Cantabria, Dept Fis Moderna, Santander 39005, Spain
来源：
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2007年 / 143卷
关键词：
LYAPUNOV; PERTURBATIONS; INTERFACES; DYNAMICS;
D O I：
10.1140/epjst/e2007-00065-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We investigate the scaling properties of Lyapunov eigenvectors and exponents in coupled-map lattices exhibiting space-time chaos. A deep interrelation between spatiotemporal chaos and kinetic roughening of surfaces is postulated. We show that the logarithm of unstable eigenvectors exhibits scale-invariance with roughness exponents that can be predicted by a simple scaling conjecture. We argue that these scaling properties should be generic in spatially homogeneous extended systems with local diffusive-like couplings.
引用
收藏
页码：13 / 18
页数：6
相关论文
共 50 条
  • [21] Observation of chaotic attractor in spatially extended systems: Coarse-grained dimension of frozen chaos
    Choi, D
    Fuchikami, N
    Hirokami, E
    Ishioka, S
    Naito, M
    JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS, 1999, 38 (6A): : 3784 - 3792
  • [22] Observation of chaotic attractor in spatially extended systems: Coarse-grained dimension of frozen chaos
    Choi, Donghak
    Fuchikami, Nobuko
    Hirokami, Eriko
    Ishioka, Shunya
    Naito, Masayoshi
    Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers, 1999, 38 (6 A): : 3784 - 3792
  • [23] RESONANT RESPONSE AND ITS SCALING PROPERTIES IN CHAOTIC SYSTEMS PERTURBED BY NOISE
    FRANASZEK, M
    FRONZONI, L
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D-CONDENSED MATTER ATOMIC MOLECULAR AND CHEMICAL PHYSICS FLUIDS PLASMAS BIOPHYSICS, 1995, 17 (7-8): : 775 - 783
  • [24] Local multifractal properties of a spatially extended chaotic system through time delay coordinate reconstruction
    Wierzbicki, M
    Zebrowski, JJ
    ACTA PHYSICA POLONICA B, 1996, 27 (09): : 2045 - 2055
  • [25] Local multifractal properties of a spatially extended chaotic system through time delay coordinate reconstruction
    Wierzbicki, M.
    Zebrowski, J.J.
    1996, (27):
  • [26] Universal spectral properties of spatially periodic quantum systems with chaotic classical dynamics
    Dittrich, T
    Mehlig, B
    Schanz, H
    Smilansky, U
    CHAOS SOLITONS & FRACTALS, 1997, 8 (7-8) : 1205 - 1227
  • [27] Chaotic multidomain oscillations in a spatially-extended semiconductor device
    Ito, H
    Ueda, Y
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2001, E84A (11) : 2908 - 2914
  • [28] Communications by synchronization of spatially symmetric chaotic systems
    González-Miranda, JM
    PHYSICS LETTERS A, 1999, 251 (02) : 115 - 120
  • [29] SPATIALLY DISTRIBUTED CHAOTIC SOLITONS IN ELASTOSTATIC SYSTEMS
    ELNASCHIE, MS
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1990, 70 (04): : T105 - T108
  • [30] Lyapunov spectra in spatially extended systems
    Ruffo, S
    CELLULAR AUTOMATA AND COMPLEX SYSTEMS, 1999, 3 : 153 - 180
12345