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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

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Self-intersections of the Phase Trajectories as a Measure of the Embedding Dimension of Chaotic Attractors. Part I

Том 44, Выпуск 9, 2012, pp. 11-23
DOI: 10.1615/JAutomatInfScien.v44.i9.20
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Краткое описание

The purpose of this study is to test the hypothesis about the possibility to use of self-intersection of the phase trajectories to determine the embedding dimension of chaotic attractors. An algorithm of finding possible intersections of integral curves is developed. The problem of the lack of information about the behavior of the trajectory between the points, obtained in the space on the basis of the observed time series, is solved by replacing the integral curve by a broken line.

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