DYNAMIC DESCRIPTION OF SPATIAL DISORDER

被引:14
作者
AFRAIMOVICH, VS
EZERSKY, AB
RABINOVICH, MI
SHERESHEVSKY, MA
ZHELEZNYAK, AL
机构
[1] Institute of Applied Physics, Russian Academy of Sciences, 603600 Nizhny Novgorod
来源
PHYSICA D | 1992年 / 58卷 / 1-4期
关键词
D O I
10.1016/0167-2789(92)90121-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We propose a new approach to the analysis of chaotic spatial field distributions (including the snapshots of the fields evolving with time), taking as a basis a translational dynamical system with d times. A space series is used to determine quantitative characteristics of disorder such as spatial correlation and pointwise dimensions.
引用
收藏
页码:331 / 338
页数:8
相关论文
共 13 条
[1]   THE AMPLITUDE PHASE TURBULENCE TRANSITION IN A GINZBURG-LANDAU MODEL AS A CRITICAL PHENOMENON [J].
BAZHENOV, MV ;
RABINOVICH, MI ;
FABRIKANT, AL .
PHYSICS LETTERS A, 1992, 163 (1-2) :87-94
[2]   CHARACTERIZATION OF EXPERIMENTAL (NOISY) STRANGE ATTRACTORS [J].
BENMIZRACHI, A ;
PROCACCIA, I ;
GRASSBERGER, P .
PHYSICAL REVIEW A, 1984, 29 (02) :975-977
[3]   NONLINEAR-WAVE COMPETITION AND ANISOTROPIC SPECTRA OF SPATIOTEMPORAL CHAOS OF FARADAY RIPPLES [J].
EZERSKY, AB ;
RABINOVICH, MI .
EUROPHYSICS LETTERS, 1990, 13 (03) :243-249
[4]  
Faraday M., 1831, PHIL T R SOC LOND, V121, P299, DOI [10.1098/rstl.1831.0018, DOI 10.1098/RSTL.1831.0018]
[5]  
KATOK AB, 1985, MODERN PROBLEMS MATH, V2, P5
[6]  
MANE R, 1981, LECT NOTES MATH, V898, P366
[7]   GEOMETRY FROM A TIME-SERIES [J].
PACKARD, NH ;
CRUTCHFIELD, JP ;
FARMER, JD ;
SHAW, RS .
PHYSICAL REVIEW LETTERS, 1980, 45 (09) :712-716
[8]  
PROCACCIA I, 1983, LECT NOTES PHYS, V179, P212
[9]  
Ruelle D., 1990, P ROY SOC LOND A MAT, V427, P1873
[10]  
SMITH K, 1990, C BOARD MATH SCI REG, P76