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Proceedings Paper

Nonlinear time series processing by means of ideal topological stabilization analysis and scaling properties investigation
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Paper Abstract

The conditions of topological stabilization for Takens attractor are investigated when enlarging phase space dimension by means of topological dependences analysis and asymptotical estimations calculation. It has been shown that ideal topological stabilization is equivalent to presence of linearized segmentation properties in time series under investigation, these properties being invariant concerning scale of partition. The exact ideal topological stabilization appears to be impossible for nonlinear time series, so we have to consider asymptotical estimations of convergence to exact stabilization. Some statistical characteristics of investigated attractor have been defined by relatively- difference investigation of obtained topological curves.

Paper Details

Date Published: 22 March 1999
PDF: 12 pages
Proc. SPIE 3722, Applications and Science of Computational Intelligence II, (22 March 1999); doi: 10.1117/12.342916
Show Author Affiliations
Victor F. Dailyudenko, Institute of Engineering Cybernetics (Belarus)

Published in SPIE Proceedings Vol. 3722:
Applications and Science of Computational Intelligence II
Kevin L. Priddy; Paul E. Keller; David B. Fogel; James C. Bezdek, Editor(s)

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