Application of Time-Delay Reconstruction Method for Examination of Spatial Inhomogeneity of Dynamical Systems
A. Zubrzycki
Department of Physics, Technical University, Malczewskiego 29, 26-600 Radom, Poland

and A. Sukiennicki
Institute of Physics, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland
and Institute of Physics, Polish Academy of Sciences, Al. Lotników 32/46, 02-668 Warsaw, Poland
Received: November 13, 1996; in final form: February 18, 1997
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Three spatially extended one-dimensional dynamical systems are examined by numerical simulations and the time-delay technique is applied to find their dynamics at different positions in space. On the basis of this technique the correlation dimension is calculated from time series obtained at different positions. It is found that the value of the correlation dimension may vary from one position to another, reflecting the spatial inhomogeneity of the system.
DOI: 10.12693/APhysPolA.91.1043
PACS numbers: 05.45.+b