KFU. Card publication. The fluctuation spectroscopy based on the scaling properties of beta-distribution: Analysis of triple pendulum data

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FEDERAL UNIVERSITY

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THE FLUCTUATION SPECTROSCOPY BASED ON THE SCALING PROPERTIES OF BETA-DISTRIBUTION: ANALYSIS OF TRIPLE PENDULUM DATA

Form of presentation

Articles in international journals and collections

Year of publication

2015

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Authors, employees of KFU

Nigmatullin Ravil Rashidovich, author

Osokin Sergey Igorevich, author

Other authors

Awrejcewicz Jan , author

Kudra Grzegorz , author

Wasilewski Grzegorz , author

Bibliographic description in the original language

Nigmatullin Raoul R., Osokin Sergey I., Awrejcewicz Jan, The fluctuation spectroscopy based on the scaling properties of beta-distribution: Analysis of triple pendulum data//MECHANICAL SYSTEMS AND SIGNAL PROCESSING. - 2015. - Vol.52-53, Is.. - P.278-292.

Annotation

A new method of consideration and reduced analysis of long-time series is suggested. The method is based on the scaling (fractal) properties of the beta-distribution function that allows finding the stable parameters and reducing the long-time series containing 500000-5000000 data points to analysis of 10–20 stable parameters. The new procedure of clusterization with the usage of the generalized Pearson correlation function allows to take into account the influence of external factor and combine/separate different parameters into a cluster with respect to the influence of the qualitative external parameter considered. The method is rather flexible and can be applied to wide set of large data. As an example the triple pendulum data are considered. This method opens new possibilities in creation of the reduced database (specific fingerprints) of different long-time series for their comparison and subsequent analysis.

Keywords

detrended fluctuation analysis, fluctuation spectroscopy based on beta-distribution, chaotic data and their regularization, clusterization of statistically significant parameters based on the statistics of the fractional moments, the generalized Pearson correlation function

The name of the journal

MECHANICAL SYSTEMS AND SIGNAL PROCESSING

URL

https://doi.org/10.1016/j.ymssp.2014.06.011

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=141093&p_lang=2

Resource files

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F_The_fluctuation_spectroscopy_based_on_the_scaling_properties_of_beta_distribution.pdf	2,00	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Nigmatullin Ravil Rashidovich	ru_RU
dc.contributor.author	Osokin Sergey Igorevich	ru_RU
dc.contributor.author	Awrejcewicz Jan	ru_RU
dc.contributor.author	Kudra Grzegorz	ru_RU
dc.contributor.author	Wasilewski Grzegorz	ru_RU
dc.date.accessioned	2015-01-01T00:00:00Z	ru_RU
dc.date.available	2015-01-01T00:00:00Z	ru_RU
dc.date.issued	2015	ru_RU
dc.identifier.citation	Nigmatullin Raoul R., Osokin Sergey I., Awrejcewicz Jan, The fluctuation spectroscopy based on the scaling properties of beta-distribution: Analysis of triple pendulum data//MECHANICAL SYSTEMS AND SIGNAL PROCESSING. - 2015. - Vol.52-53, Is.. - P.278-292.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=141093&p_lang=2	ru_RU
dc.description.abstract	MECHANICAL SYSTEMS AND SIGNAL PROCESSING	ru_RU
dc.description.abstract	A new method of consideration and reduced analysis of long-time series is suggested. The method is based on the scaling (fractal) properties of the beta-distribution function that allows finding the stable parameters and reducing the long-time series containing 500000-5000000 data points to analysis of 10–20 stable parameters. The new procedure of clusterization with the usage of the generalized Pearson correlation function allows to take into account the influence of external factor and combine/separate different parameters into a cluster with respect to the influence of the qualitative external parameter considered. The method is rather flexible and can be applied to wide set of large data. As an example the triple pendulum data are considered. This method opens new possibilities in creation of the reduced database (specific fingerprints) of different long-time series for their comparison and subsequent analysis.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	detrended fluctuation analysis	ru_RU
dc.subject	fluctuation spectroscopy based on beta-distribution	ru_RU
dc.subject	chaotic data and their regularization	ru_RU
dc.subject	clusterization of statistically significant parameters based on the statistics of the fractional moments	ru_RU
dc.subject	the generalized Pearson correlation function	ru_RU
dc.title	The fluctuation spectroscopy based on the scaling properties of beta-distribution: Analysis of triple pendulum data	ru_RU
dc.type	Articles in international journals and collections	ru_RU