| Presentation | 2005-09-16 Bifurcation and Ideal Decomposition of Harmonic Balance Equations for Periodic Oscillation using Ideal Quotient Masakazu YAGI, Takashi HISAKADO, Kohshi OKUMURA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper presents a method to obtain ideal decomposition of harmonic balance equations for periodic oscillations. We can decompose the bifurcation diagram in global parameter space by the ideal decomposition. We propose a systematical method to decompose the bifurcation diagram using the decomposition of the harmonic balance equations without sources. Further, in order to realize the efficient ideal decomposition, we propose a method to apply the ideal quotient partially based on the symmetries of systems for the harmonic balance method. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | ideal quotient / harmonic balance equations / ideal decomposition / Grobner base / bifurcation diagram / symmetry |
| Paper # | CAS2005-35,NLP2005-48 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2005/9/9(1days) |
| Place (in Japanese) | (See Japanese page) |
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| 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) | Bifurcation and Ideal Decomposition of Harmonic Balance Equations for Periodic Oscillation using Ideal Quotient |
| Sub Title (in English) | |
| Keyword(1) | ideal quotient |
| Keyword(2) | harmonic balance equations |
| Keyword(3) | ideal decomposition |
| Keyword(4) | Grobner base |
| Keyword(5) | bifurcation diagram |
| Keyword(6) | symmetry |
| 1st Author's Name | Masakazu YAGI |
| 1st Author's Affiliation | Department of Electrical Engineering, Kyoto University() |
| 2nd Author's Name | Takashi HISAKADO |
| 2nd Author's Affiliation | Department of Electrical Engineering, Kyoto University |
| 3rd Author's Name | Kohshi OKUMURA |
| 3rd Author's Affiliation | Department of Information and Intellectual Systems Engineering, Hiroshima Institute of Technology |
| Date | 2005-09-16 |
| Paper # | CAS2005-35,NLP2005-48 |
| Volume (vol) | vol.105 |
| Number (no) | 277 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |