Presentation 2000/10/13
Influences of Phase-Distortion of an Anti-Aliasing Filter in Estimation of the Largest Lyapunov Exponent
Shinya Nagata, Yoshihiko Horio,
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Abstract(in English) The Lyapunov spectrum gives a good measure for an orbital instability that is one of the important features of dynamical systems. When the Lyapunov exponents are estimated from an experimental time series, the data must be acquired and taken into a digital computer by using an analog-to-digital(A/D)converter. However, an influence of an anti-aliasing filter used in front of the A/D converter is not considered in general. Effect of the magnitude frequency-response of the anti-aliasing filter on estimation of the largest Lyapunov exponent have been discussed by the authors[17, 18]. In this paper, those of the phase response of the filter are investigated with numerical simulations.
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Keyword(in English) Largest Lyapunov Exponent / Chaos / Anti-Aliasing Filter
Paper # NLP2000-78
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Committee NLP
Conference Date 2000/10/13(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) Influences of Phase-Distortion of an Anti-Aliasing Filter in Estimation of the Largest Lyapunov Exponent
Sub Title (in English)
Keyword(1) Largest Lyapunov Exponent
Keyword(2) Chaos
Keyword(3) Anti-Aliasing Filter
1st Author's Name Shinya Nagata
1st Author's Affiliation Graduate School of Engineering, Tokyo Denki University()
2nd Author's Name Yoshihiko Horio
2nd Author's Affiliation Graduate School of Engineering, Tokyo Denki University
Date 2000/10/13
Paper # NLP2000-78
Volume (vol) vol.100
Number (no) 381
Page pp.pp.-
#Pages 7
Date of Issue