Presentation 2007-03-05
Estimation of the Influence of Dynamical Noise on Chaos using Singular Value Decomposition
Masaru TODORIKI, Shuichi HASEGAWA,
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Abstract(in English) In this study, we numerically investigate the influence of dynamical noise on chaos data, and show one possible methodology to qualitatively extract the influence of dynamical noise on chaotic systems. In this analysis, the Singular Value Decomposition (SVD) method is used as an estimator of the influence of dynamical noise by detecting the fluctuation of singular values. In this presentation, more beneficial knowledge of the method are discussed, regarding the influence of the number of data and embedding. and the possibility to use singular vectors, and so on.
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Keyword(in English) Chaos / Dynamical noise / Measurement noise / SVD method / Fluctuation / Chua's electronic circuit
Paper # NLP2006-144
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Committee NLP
Conference Date 2007/2/26(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Estimation of the Influence of Dynamical Noise on Chaos using Singular Value Decomposition
Sub Title (in English)
Keyword(1) Chaos
Keyword(2) Dynamical noise
Keyword(3) Measurement noise
Keyword(4) SVD method
Keyword(5) Fluctuation
Keyword(6) Chua's electronic circuit
1st Author's Name Masaru TODORIKI
1st Author's Affiliation Graduate School of Engineering The University of Tokyo()
2nd Author's Name Shuichi HASEGAWA
2nd Author's Affiliation Graduate School of Engineering The University of Tokyo
Date 2007-03-05
Paper # NLP2006-144
Volume (vol) vol.106
Number (no) 573
Page pp.pp.-
#Pages 6
Date of Issue