| Presentation | 2005-05-17 Approximation and Analysis of Non-linear Equations Based on Moment Vector Equations Hideki SATOH, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Moment vector equations (MVEs) are presented in this report to approximate and analyze multi-dimensional non-linear discrete- and continuous-time equations. A non-linear equation is expanded into simultaneous equations of generalized moments, and it is reduced to an MVE of its coefficient matrix and a moment vector. We can use the MVE to analyze statistical properties such as the mean, variance, covariance, and power spectrum of the non-linear equation. Moreover, we can approximately express a combination of non-linear equations by using a combination of MVEs of the non-linear equations. The statistical properties of the Lorenz equations and those of a combination of the logistic equations were evaluated based on the MVE approach, and it is shown that MVEs can be used as an approximation of non-linear equations in statistical measurements. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | approximation / linearize / non-linear / moment / power spectrum |
| Paper # | NLP2005-1 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2005/5/10(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) | Approximation and Analysis of Non-linear Equations Based on Moment Vector Equations |
| Sub Title (in English) | |
| Keyword(1) | approximation |
| Keyword(2) | linearize |
| Keyword(3) | non-linear |
| Keyword(4) | moment |
| Keyword(5) | power spectrum |
| 1st Author's Name | Hideki SATOH |
| 1st Author's Affiliation | School of Systems Information Science, Future University-Hakodate() |
| Date | 2005-05-17 |
| Paper # | NLP2005-1 |
| Volume (vol) | vol.105 |
| Number (no) | 49 |
| Page | pp.pp.- |
| #Pages | 6 |
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