| Presentation | 2004-06-17 A Statistical Analysis of the Logistic Map in a Linear Vector Space Hideki SATOH, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A moment matrix analysis (MMA) method can derive macroscopic statistical properties such as moments, response time, and power spectra of non-linear equations without solving the equations. MMA expands a non-linear equation into simultaneous linear equations of moments, and reduces it to a linear equation of their coefficient matrix and a moment vector. We can analyze the statistical properties from the eigenvalues and eigenvectors of the coefficient matrix. This paper presents (1) a systematic procedure to linearize non-linear equations and (2) an expansion of the previous work of MMA to derive the statistical properties of various non-linear equations. The statistical properties of the logistic map were evaluated by using MMA and computer simulation, and it is shown that the proposed systematic procedure was effective and that MMA could accurately approximate the statistical properties of the logistic map even though such a map had strong non-linearity. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | linearize / non-linear / statistics / logistic map / MMA |
| Paper # | NLP2004-20 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2004/6/10(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Statistical Analysis of the Logistic Map in a Linear Vector Space |
| Sub Title (in English) | |
| Keyword(1) | linearize |
| Keyword(2) | non-linear |
| Keyword(3) | statistics |
| Keyword(4) | logistic map |
| Keyword(5) | MMA |
| 1st Author's Name | Hideki SATOH |
| 1st Author's Affiliation | School of Systems Information Science, Future University-Hakodate() |
| Date | 2004-06-17 |
| Paper # | NLP2004-20 |
| Volume (vol) | vol.104 |
| Number (no) | 112 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |