| Presentation | 1995/9/29 A Computational Method to 0btain Bifurcation Parameters of Limit Cycles Tetsushi Ueta, Yuji Katsuta, Hiroshi Kawakami, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We propose a numerical method to obtain the bifurcation parameters of nonlinear autonomous systems. The bifurcation parameter, fixed point, period are calculated simultaneous by Newton's method regarding the return time as an independent variable. In the Newton's method, the Jacobi matrix can be reduced and convergence of the recurrent scheme is improved as compared with conventional method. We also investigate the calculation method for characteristic equation at the stage of implementation of the algorithm. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | autonomous system / bifurcation / fixed point / period, Newton's method |
| Paper # | NLP95-43 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 1995/9/29(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Computational Method to 0btain Bifurcation Parameters of Limit Cycles |
| Sub Title (in English) | |
| Keyword(1) | autonomous system |
| Keyword(2) | bifurcation |
| Keyword(3) | fixed point |
| Keyword(4) | period, Newton's method |
| 1st Author's Name | Tetsushi Ueta |
| 1st Author's Affiliation | The University of Tokushima() |
| 2nd Author's Name | Yuji Katsuta |
| 2nd Author's Affiliation | Ube National College of Technology |
| 3rd Author's Name | Hiroshi Kawakami |
| 3rd Author's Affiliation | The University of Tokushima |
| Date | 1995/9/29 |
| Paper # | NLP95-43 |
| Volume (vol) | vol.95 |
| Number (no) | 280 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |