| Presentation | 2001/11/22 Bifurcation Structure of the Duck Solution Driven by Weak Periodic Isao HISHINUMA, Naohiko INABA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we study the response of a duck-solution generating circuit to an extremely small periodic perturbation. The duck solution breaks down by this small perturbation and chaos is generated after all. To analyze this phenomenon in detail, the piecewise-linear technique combined with the degenerate technique is employed. Through these techniques, a one-dimensional Poincare map is derived rigorously as a circle map. We show 2-parameter bifurcation diagram by analysis of the Poincare map. From this diagram, chaos generating region is clarified. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | chaos / nonlinear circuit / lost solution / duck solution |
| Paper # | NLP2001-68 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2001/11/22(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 | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Bifurcation Structure of the Duck Solution Driven by Weak Periodic |
| Sub Title (in English) | |
| Keyword(1) | chaos |
| Keyword(2) | nonlinear circuit |
| Keyword(3) | lost solution |
| Keyword(4) | duck solution |
| 1st Author's Name | Isao HISHINUMA |
| 1st Author's Affiliation | Faculty of Engineering, Utsunomiya University() |
| 2nd Author's Name | Naohiko INABA |
| 2nd Author's Affiliation | Faculty of Engineering, Utsunomiya University |
| Date | 2001/11/22 |
| Paper # | NLP2001-68 |
| Volume (vol) | vol.101 |
| Number (no) | 465 |
| Page | pp.pp.- |
| #Pages | 5 |
| Date of Issue | |