| Presentation | 2005-12-16 Analysis of Discontinuity on Complex Homotopy Path with Complex Time Variable Atsushi KOYAMA, Takashi HISAKADO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Homotopy method can be applied to finding periodic oscillations in nonlinear ac circuit. In homotopy method, if we use complex state variables, the homotopy parameter is monotonic to arc-length parameter of homotopy path. This enables to find periodic oscillations efficiently. However, in tracing complex homotopy paths, it is reported that discontinuous points exist. This report describes that singular points make homotopy paths discontinuous, by using complex time variable. We confirm the phenomena by Poincare map and branch points. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | homotopy / complex state variable / complex time variable / periodic oscillation / periodic solution / movable singular point / complex bifurcation |
| Paper # | NLP2005-91 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2005/12/9(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| 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) | Analysis of Discontinuity on Complex Homotopy Path with Complex Time Variable |
| Sub Title (in English) | |
| Keyword(1) | homotopy |
| Keyword(2) | complex state variable |
| Keyword(3) | complex time variable |
| Keyword(4) | periodic oscillation |
| Keyword(5) | periodic solution |
| Keyword(6) | movable singular point |
| Keyword(7) | complex bifurcation |
| 1st Author's Name | Atsushi KOYAMA |
| 1st Author's Affiliation | Department of Electric Engineering, Kyoto University() |
| 2nd Author's Name | Takashi HISAKADO |
| 2nd Author's Affiliation | Department of Electric Engineering, Kyoto University |
| Date | 2005-12-16 |
| Paper # | NLP2005-91 |
| Volume (vol) | vol.105 |
| Number (no) | 483 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |