Казанский (Приволжский) федеральный университет, КФУ
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THE FLUCTUATION SPECTROSCOPY BASED ON THE SCALING PROPERTIES OF BETA-DISTRIBUTION: ANALYSIS OF TRIPLE PENDULUM DATA
Форма представленияСтатьи в зарубежных журналах и сборниках
Год публикации2015
Языканглийский
  • Нигматуллин Равиль Рашидович, автор
  • Осокин Сергей Игоревич, автор
  • Awrejcewicz Jan , автор
  • Kudra Grzegorz , автор
  • Wasilewski Grzegorz , автор
  • Библиографическое описание на языке оригинала 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.
    Аннотация 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.
    Ключевые слова 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
    Название журнала MECHANICAL SYSTEMS AND SIGNAL PROCESSING
    URL https://doi.org/10.1016/j.ymssp.2014.06.011
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