Detection of oriented fractal scaling components in anisotropic two-dimensional trajectories

Detection of oriented fractal scaling components in anisotropic two-dimensional trajectories

Abstract We propose a novel class of mixed fluctuations with different orientations and fractal scaling features as a model for anisotropic two-dimensional (2D) trajectories hypothesized to appear in complex systems. Furthermore, we develop the oriented fractal scaling component analysis (OFSCA) to...

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Autores principales: Ivan Seleznov, Anton Popov, Kazuhei Kikuchi, Elena Kolosova, Bohdan Kolomiiets, Akio Nakata, Miki Kaneko, Ken Kiyono
Formato: article
Lenguaje:EN
Publicado: Nature Portfolio 2020
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Acceso en línea:https://doaj.org/article/f939fff861984d3fa8c6f142c27effec
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spelling oai:doaj.org-article:f939fff861984d3fa8c6f142c27effec2021-12-02T12:40:41ZDetection of oriented fractal scaling components in anisotropic two-dimensional trajectories10.1038/s41598-020-78807-z2045-2322https://doaj.org/article/f939fff861984d3fa8c6f142c27effec2020-12-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-78807-zhttps://doaj.org/toc/2045-2322Abstract We propose a novel class of mixed fluctuations with different orientations and fractal scaling features as a model for anisotropic two-dimensional (2D) trajectories hypothesized to appear in complex systems. Furthermore, we develop the oriented fractal scaling component analysis (OFSCA) to decompose such mixed fluctuations into the original orientation components. In the OFSCA, the original orientations are detected based on the principle that the original angles are orthogonal to the angles with the minimum and maximum scaling exponents of the mixed fluctuations. In our approach, the angle-dependent scaling properties are estimated using the Savitzky–Golay-filter-based detrended moving-average analysis (DMA), which has a higher detrending order than the conventional moving-average-filter-based DMA. To illustrate the OFSCA, we demonstrate that the numerically generated time-series of mixed fractional Gaussian noise (fGn) processes with non-orthogonal orientations and different scaling exponents is successfully decomposed into the original fGn components. We demonstrate the existence of oriented components in the 2D trajectories by applying OFSCA to real-world time-series, such as human postural fluctuations during standing and seismic ground acceleration during the great 2011 Tohoku-oki earthquake.Ivan SeleznovAnton PopovKazuhei KikuchiElena KolosovaBohdan KolomiietsAkio NakataMiki KanekoKen KiyonoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-11 (2020)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Ivan Seleznov
Anton Popov
Kazuhei Kikuchi
Elena Kolosova
Bohdan Kolomiiets
Akio Nakata
Miki Kaneko
Ken Kiyono
Detection of oriented fractal scaling components in anisotropic two-dimensional trajectories
description Abstract We propose a novel class of mixed fluctuations with different orientations and fractal scaling features as a model for anisotropic two-dimensional (2D) trajectories hypothesized to appear in complex systems. Furthermore, we develop the oriented fractal scaling component analysis (OFSCA) to decompose such mixed fluctuations into the original orientation components. In the OFSCA, the original orientations are detected based on the principle that the original angles are orthogonal to the angles with the minimum and maximum scaling exponents of the mixed fluctuations. In our approach, the angle-dependent scaling properties are estimated using the Savitzky–Golay-filter-based detrended moving-average analysis (DMA), which has a higher detrending order than the conventional moving-average-filter-based DMA. To illustrate the OFSCA, we demonstrate that the numerically generated time-series of mixed fractional Gaussian noise (fGn) processes with non-orthogonal orientations and different scaling exponents is successfully decomposed into the original fGn components. We demonstrate the existence of oriented components in the 2D trajectories by applying OFSCA to real-world time-series, such as human postural fluctuations during standing and seismic ground acceleration during the great 2011 Tohoku-oki earthquake.
format article
author Ivan Seleznov
Anton Popov
Kazuhei Kikuchi
Elena Kolosova
Bohdan Kolomiiets
Akio Nakata
Miki Kaneko
Ken Kiyono
author_facet Ivan Seleznov
Anton Popov
Kazuhei Kikuchi
Elena Kolosova
Bohdan Kolomiiets
Akio Nakata
Miki Kaneko
Ken Kiyono
author_sort Ivan Seleznov
title Detection of oriented fractal scaling components in anisotropic two-dimensional trajectories
title_short Detection of oriented fractal scaling components in anisotropic two-dimensional trajectories
title_full Detection of oriented fractal scaling components in anisotropic two-dimensional trajectories
title_fullStr Detection of oriented fractal scaling components in anisotropic two-dimensional trajectories
title_full_unstemmed Detection of oriented fractal scaling components in anisotropic two-dimensional trajectories
title_sort detection of oriented fractal scaling components in anisotropic two-dimensional trajectories
publisher Nature Portfolio
publishDate 2020
url https://doaj.org/article/f939fff861984d3fa8c6f142c27effec
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AT antonpopov detectionoforientedfractalscalingcomponentsinanisotropictwodimensionaltrajectories
AT kazuheikikuchi detectionoforientedfractalscalingcomponentsinanisotropictwodimensionaltrajectories
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AT akionakata detectionoforientedfractalscalingcomponentsinanisotropictwodimensionaltrajectories
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AT kenkiyono detectionoforientedfractalscalingcomponentsinanisotropictwodimensionaltrajectories
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