Presentation 2021-01-21
Extraction of Property for Nonlinear Time Series by Changing Density of Recurrence Plots
Shiki Kanamaru, Nina Sviridova, Yutaka Shimada, Tohru Ikeguchi,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) A recurrence plot is one of the most effective nonlinear time series analysis methods for qualitatively understanding a nonlinear dynamical system. Furthermore, recurrence quantification analysis methods can be used to quantitatively evaluate the recurrence plot. In this report, we extract the properties of nonlinear time series from changes in quantification indices obtained by varying plot density on the recurrence plot and its extension methods, iso-directional recurrence plot and iso-directional neighbors plot. The experimental results suggest that the proposed method can discriminate the properties between deterministic chaotic time series and noisy periodic time series, and that it can also discriminate deterministic chaotic time series and the time series with colored noise such as a fractional Brownian motion.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Recurrence Plot / Iso-Directional Recurrence Plot / Iso-Directional Neighbors Plot / Density of RP / Recurrence Quantification Analysis / Extraction of Property for Nonlinear Time Series
Paper # NLP2020-41
Date of Issue 2021-01-14 (NLP)

Conference Information
Committee NC / NLP
Conference Date 2021/1/21(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Online
Topics (in Japanese) (See Japanese page)
Topics (in English) NC,NLP
Chair Kazuyuki Samejima(Tamagawa Univ) / Kiyohisa Natsume(Kyushu Inst. of Tech.)
Vice Chair Rieko Osu(Waseda Univ.) / Takuji Kosaka(Chukyo Univ.)
Secretary Rieko Osu(NTT) / Takuji Kosaka(ATR)
Assistant Ken Takiyama(TUAT) / Nobuhiko Wagatsuma(Toho Univ.) / Toshikaza Samura(Yamaguchi Univ.) / Hideyuki Kato(Oita Univ.)

Paper Information
Registration To Technical Committee on Neurocomputing / Technical Committee on Nonlinear Problems
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Extraction of Property for Nonlinear Time Series by Changing Density of Recurrence Plots
Sub Title (in English)
Keyword(1) Recurrence Plot
Keyword(2) Iso-Directional Recurrence Plot
Keyword(3) Iso-Directional Neighbors Plot
Keyword(4) Density of RP
Keyword(5) Recurrence Quantification Analysis
Keyword(6) Extraction of Property for Nonlinear Time Series
1st Author's Name Shiki Kanamaru
1st Author's Affiliation Tokyo University of Science(TUS)
2nd Author's Name Nina Sviridova
2nd Author's Affiliation Tokyo University of Science(TUS)
3rd Author's Name Yutaka Shimada
3rd Author's Affiliation Saitama University(Saitama Univ.)
4th Author's Name Tohru Ikeguchi
4th Author's Affiliation Tokyo University of Science(TUS)
Date 2021-01-21
Paper # NLP2020-41
Volume (vol) vol.120
Number (no) NLP-330
Page pp.pp.7-12(NLP),
#Pages 6
Date of Issue 2021-01-14 (NLP)