APPLICATION OF TIME-DELAY RECONSTRUCTION METHOD FOR EXAMINATION OF SPATIAL INHOMOGENEITY OF DYNAMICAL-SYSTEMS

Authors
ZUBRZYCKI A SUKIENNICKI A
Citation
A. Zubrzycki et A. Sukiennicki, APPLICATION OF TIME-DELAY RECONSTRUCTION METHOD FOR EXAMINATION OF SPATIAL INHOMOGENEITY OF DYNAMICAL-SYSTEMS, Acta Physica Polonica. A, 91(6), 1997, pp. 1043-1052
Citations number
15
Categorie Soggetti
Physics
Journal title
Acta Physica Polonica. A → ACNP
ISSN journal
05874246
Volume
91
Issue
6
Year of publication
1997
Pages
1043 - 1052
Database
ISI
SICI code
0587-4246(1997)91:6<1043:AOTRMF>2.0.ZU;2-C
Abstract
Three spatially extended one-dimensional dynamical systems are examine d by numerical simulations and the time-delay technique is applied to find their dynamics at different positions in space. On the basis of t his technique the correlation dimension is calculated from time series obtained at different positions. It is found that the value of the co rrelation dimension may vary from one position to another, reflecting the spatial inhomogeneity of the system.