Presentation 2005-03-25
Bioassay technology based on Chaos and Fractals theory
Masahiro NOGUCHI, Masahiro NAKAGAWA,
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Abstract(in English) Chaos and fractals characteristics are studied in various fields, such as communications, medical treatment, mathematical problems. Biological signals have chaos and fractals characteristics. In addition, chaos and fractals analyses are very effective to understand the complexity. Then, in this report, we shall accomplish observation with an indoor tank, the movement loci of a fish as a biological signal from a video were extracted, and we analyzed these loci from a viewpoint of chaos and fractals. We verify the existence of the chaos characteristic in the movement loci of a fish by means of Lyapunov analysis. Furthermore, we tried to quantify the complexity of those movement loci by means of the fractals dimension analyzing methods, such as the correlation dimension and the critical exponent method. Moreover, we shall also discuss the environmental load dependence of chaos and fractals characteristics on the environmental load in a tank.
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Keyword(in English) movement loci of a fish / Chaos / Fractals Dimension / Lyapunov analysis / Correlation Dimension / Critical Exponent Method
Paper # NLP2004-122
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Committee NLP
Conference Date 2005/3/18(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) Bioassay technology based on Chaos and Fractals theory
Sub Title (in English)
Keyword(1) movement loci of a fish
Keyword(2) Chaos
Keyword(3) Fractals Dimension
Keyword(4) Lyapunov analysis
Keyword(5) Correlation Dimension
Keyword(6) Critical Exponent Method
1st Author's Name Masahiro NOGUCHI
1st Author's Affiliation Nagaoka University of Technology()
2nd Author's Name Masahiro NAKAGAWA
2nd Author's Affiliation Nagaoka University of Technology
Date 2005-03-25
Paper # NLP2004-122
Volume (vol) vol.104
Number (no) 753
Page pp.pp.-
#Pages 6
Date of Issue