Presentation 2002/8/28
Calculating the amount of information of the system by controlling chaos
Shigehiro HAYASHI, Ikuo MATSUBA,
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Abstract(in English) A chaotic time series includes information, but it is considered that information is included in the chaos phenomenon itself on the other hand. For example, it turns out that chaos is concerned with man's brain waves (especially, short-term-memory information), and it is thought that information is put on the chaos itself. The method of computing the amount of information which chaos has by using the value of Lyapunov-exponent and information-dimension, which shows the complexity of attractor, is already established. In this paper, we try to stabilize a chaotic time series to unstable periodic orbit, and we propose the computing method the amount of information by embedding information. Finally, we compare with the traditional method. And we examine the validity of this method.
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Keyword(in English) Chaos / Lyapunov exponent / Pyragas / Unstable periodic orbit / information
Paper # NLP2002-64
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Conference Information
Committee NLP
Conference Date 2002/8/28(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Calculating the amount of information of the system by controlling chaos
Sub Title (in English)
Keyword(1) Chaos
Keyword(2) Lyapunov exponent
Keyword(3) Pyragas
Keyword(4) Unstable periodic orbit
Keyword(5) information
1st Author's Name Shigehiro HAYASHI
1st Author's Affiliation Graduate School of Science and Technology, Chiba University()
2nd Author's Name Ikuo MATSUBA
2nd Author's Affiliation Department of Information and Image Science, Faculty of Technology, Chiba University
Date 2002/8/28
Paper # NLP2002-64
Volume (vol) vol.102
Number (no) 298
Page pp.pp.-
#Pages 6
Date of Issue