Topological diagnostics of the cyclic component of the time series associated with helium
- Authors: Knyazeva I.S.1,2, Nagovitsyn Y.A.1,3, Urt’ev F.A.1, Makarenko N.G.1
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Affiliations:
- Main Astronomical (Pulkovo) Observatory
- St. Petersburg State University
- St. Petersburg State University of Aerospace Instrumentation
- Issue: Vol 56, No 7 (2016)
- Pages: 853-857
- Section: Article
- URL: https://journals.rcsi.science/0016-7932/article/view/155879
- DOI: https://doi.org/10.1134/S0016793216070094
- ID: 155879
Cite item
Abstract
Detection of the deterministic component from noised time series is a common procedure in the solar–terrestrial coupling problem when climate is modeled, solar activity is analyzed, or a signal associated with helium is extracted. Such series are mostly generated by the superposition of different processes for which the concept of a noise component cannot be determined formally. A method based on the combination of time-series topological embedding in Euclidean space and the identification of a persistent cycle by homology theory methods is proposed. The method application is demonstrated based on actual data.
About the authors
I. S. Knyazeva
Main Astronomical (Pulkovo) Observatory; St. Petersburg State University
Author for correspondence.
Email: iknyazeva@gmail.com
Russian Federation, St. Petersburg, 196140; St. Petersburg
Yu. A. Nagovitsyn
Main Astronomical (Pulkovo) Observatory; St. Petersburg State University of Aerospace Instrumentation
Email: iknyazeva@gmail.com
Russian Federation, St. Petersburg, 196140; St. Petersburg, 190000
F. A. Urt’ev
Main Astronomical (Pulkovo) Observatory
Email: iknyazeva@gmail.com
Russian Federation, St. Petersburg, 196140
N. G. Makarenko
Main Astronomical (Pulkovo) Observatory
Email: iknyazeva@gmail.com
Russian Federation, St. Petersburg, 196140
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