Forecasting confined spatiotemporal chaos with genetic algorithms

被引:23
作者
López, C [1 ]
Alvarez, A
Hernández-García, E
机构
[1] Univ Illes Balears, CSIC, Inst Mediterraneo Estud Avanzados, IMEDA, Palma de Mallorca 07071, Spain
[2] SACLANT Untersea Res Ctr, I-19138 San Bartolomeo, La Spezia, Italy
关键词
D O I
10.1103/PhysRevLett.85.2300
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A technique to forecast spatiotemporal time series is presented. It uses a proper orthogonal or Karhunen-Loeve decomposition to encode large spatiotemporal data sets in a few time series, and genetic algorithms to efficiently extract dynamical rules from the data. The method works very well for confined systems displaying spatiotemporal chaos, as exemplified here by forecasting the evolution of the one-dimensional complex Ginzburg-Landau equation in a finite domain.
引用
收藏
页码:2300 / 2303
页数:4
相关论文
共 20 条
[1]  
ALVAREZ A, IN PRESS GEOPHYS RES
[2]  
ALVAREZ A, CHAODYN9911012
[3]  
ALVAREZ A, UNPUB DARWIN EVOLUTI
[4]   Average patterns of spatiotemporal chaos:: A boundary effect [J].
Eguíluz, VM ;
Alstrom, P ;
Hernández-García, E ;
Piro, O .
PHYSICAL REVIEW E, 1999, 59 (03) :2822-2825
[5]   STATISTICAL STUDIES OF CHAOTIC WAVE PATTERNS [J].
GLUCKMAN, BJ ;
ARNOLD, CB ;
GOLLUB, JP .
PHYSICAL REVIEW E, 1995, 51 (02) :1128-1147
[6]  
HOLLAND JH, 1992, ADAPTATION NATURAL A
[7]  
Holmes P., 1996, Turbulence, coherent structures, dynamical systems, and symmetry
[8]  
Kantz H, 1997, Nonlinear Time Series Analysis
[9]   Karhunen-Loeve local characterization of spatiotemporal chaos in a reaction-diffusion system [J].
Meixner, M ;
Zoldi, SM ;
Bose, S ;
Schöll, E .
PHYSICAL REVIEW E, 2000, 61 (02) :1382-1385
[10]   SPATIAL AND TEMPORAL AVERAGES IN CHAOTIC PATTERNS [J].
NING, L ;
HU, Y ;
ECKE, RE ;
AHLERS, G .
PHYSICAL REVIEW LETTERS, 1993, 71 (14) :2216-2219