Nonlinear dynamics method in the application to the study of time series

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Nonlinear dynamics method in the application to the study of time series. / Ампилова, Наталья Борисовна.

In: JOURNAL OF APPLIED ELECTROMAGNETISM , Vol. 24, No. 2, 2, 15.12.2022, p. 9-18.

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

BibTeX

@article{fc0794813d744a7594dd9aff7b838503,

title = "Nonlinear dynamics method in the application to the study of time series",

abstract = "Time series are widely used for representation data of different types. Along the traditional methods the approach of nonlinear dynamics – reconstruction of the attractor of the system generating the series – is successfully applied. It allows us to calculate correlation dimension of the attractor of the system under study (if it exists) or to establish that the system does not have any attractor.In this work we apply this method to solve a practical problem to analyze EEG records for revealing the patients with epileptic activity. Additionally we calculate entropy of a signal on amplitude coverage. This approach resulted in separation of 15 records into 2 classes – epileptic activity and other pathologies, and it is in accordance with the expert conclusions.The implemented program system may be used both for investigations and educational purpose, and the method may be applied to time series of other types.",

keywords = "time series, correlation dimension, attractor, embedding dimension",

author = "Ампилова, {Наталья Борисовна}",

year = "2022",

month = dec,

day = "15",

language = "English",

volume = "24",

pages = "9--18",

journal = "JOURNAL OF APPLIED ELECTROMAGNETISM ",

issn = "1109-1606",

publisher = "National Technical University of Athens (NTUA)",

number = "2",

}

RIS

TY - JOUR

T1 - Nonlinear dynamics method in the application to the study of time series

AU - Ампилова, Наталья Борисовна

PY - 2022/12/15

Y1 - 2022/12/15

N2 - Time series are widely used for representation data of different types. Along the traditional methods the approach of nonlinear dynamics – reconstruction of the attractor of the system generating the series – is successfully applied. It allows us to calculate correlation dimension of the attractor of the system under study (if it exists) or to establish that the system does not have any attractor.In this work we apply this method to solve a practical problem to analyze EEG records for revealing the patients with epileptic activity. Additionally we calculate entropy of a signal on amplitude coverage. This approach resulted in separation of 15 records into 2 classes – epileptic activity and other pathologies, and it is in accordance with the expert conclusions.The implemented program system may be used both for investigations and educational purpose, and the method may be applied to time series of other types.

AB - Time series are widely used for representation data of different types. Along the traditional methods the approach of nonlinear dynamics – reconstruction of the attractor of the system generating the series – is successfully applied. It allows us to calculate correlation dimension of the attractor of the system under study (if it exists) or to establish that the system does not have any attractor.In this work we apply this method to solve a practical problem to analyze EEG records for revealing the patients with epileptic activity. Additionally we calculate entropy of a signal on amplitude coverage. This approach resulted in separation of 15 records into 2 classes – epileptic activity and other pathologies, and it is in accordance with the expert conclusions.The implemented program system may be used both for investigations and educational purpose, and the method may be applied to time series of other types.

KW - time series

KW - correlation dimension

KW - attractor

KW - embedding dimension

M3 - Article

VL - 24

SP - 9

EP - 18

JO - JOURNAL OF APPLIED ELECTROMAGNETISM

JF - JOURNAL OF APPLIED ELECTROMAGNETISM

SN - 1109-1606

IS - 2

M1 - 2

ER -

ID: 101066386