Journal of Automation and Information Sciences
Выходит 12 номеров в год
ISSN Печать: 1064-2315
ISSN Онлайн: 2163-9337
SJR:
0.173
SNIP:
0.588
CiteScore™::
2
Indexed in
Determination of Dimension of Embedding for Chaotic Attractors
Том 39,
Выпуск 10, 2007,
pp. 47-56
DOI: 10.1615/JAutomatInfScien.v39.i10.30
Краткое описание
We suggested method for solving one of the problems which are urgent for systems with deterministic chaos. Namely, the problem about determination of dimension of their embedding for one known variable represented by point-wise time series. It is assumed that unknown model of an object is an autonomous system of ordinary differential equations. On the basis of analysis of peculiarities of such systems and their attractors we developed the algorithm, which makes it possible to determine uniquely dimension of embedding. We adduced comparison of the suggested approach with the known "false nearest-neighbor" method.
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