Topological diagnostics of the cyclic component of the time series associated with helium

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Topological diagnostics of the cyclic component of the time series associated with helium. / Knyazeva, I. S.; Nagovitsyn, Yu A.; Urt’ev, F. A.

In: Geomagnetism and Aeronomy, Vol. 56, No. 7, 01.12.2016, p. 853-857.

Research output: Contribution to journal › Article › peer-review

Author

Knyazeva, I. S. ; Nagovitsyn, Yu A. ; Urt’ev, F. A. / Topological diagnostics of the cyclic component of the time series associated with helium. In: Geomagnetism and Aeronomy. 2016 ; Vol. 56, No. 7. pp. 853-857.

BibTeX

@article{65f84d9e8802481c9e198b627e4654aa,

title = "Topological diagnostics of the cyclic component of the time series associated with helium",

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.",

author = "Knyazeva, {I. S.} and Nagovitsyn, {Yu A.} and Urt{\textquoteright}ev, {F. A.}",

year = "2016",

month = dec,

day = "1",

doi = "10.1134/S0016793216070094",

language = "English",

volume = "56",

pages = "853--857",

journal = "Geomagnetism and Aeronomy",

issn = "0016-7932",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "7",

}

RIS

TY - JOUR

T1 - Topological diagnostics of the cyclic component of the time series associated with helium

AU - Knyazeva, I. S.

AU - Nagovitsyn, Yu A.

AU - Urt’ev, F. A.

PY - 2016/12/1

Y1 - 2016/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85011959027&partnerID=8YFLogxK

U2 - 10.1134/S0016793216070094

DO - 10.1134/S0016793216070094

M3 - Article

AN - SCOPUS:85011959027

VL - 56

SP - 853

EP - 857

JO - Geomagnetism and Aeronomy

JF - Geomagnetism and Aeronomy

SN - 0016-7932

IS - 7

ER -

ID: 9326241