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Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Self-intersection of the Phase Trajectories as a Measure of the Embedding Dimension of Chaotic Attractors. Part II

Volume 44, Issue 11, 2012, pp. 1-9
DOI: 10.1615/JAutomatInfScien.v44.i11.10
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ABSTRACT

This paper considers the problem of determining the embedding dimension in the reconstruction of a dynamical system using one observable variable. The proposed algorithm is based on the search for possible self-intersections of integral curves. The method was tested on time series with a noise, on real data on solar activity, on high-dimensional systems. An analysis of the possibility of applying this algorithm to estimate the embedding dimension is given for systems of different type.

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