| Presentation | 1999/6/22 Collapse of Duck Solution and Chaos in a Rayleigh Oscillator with Extremely Weak Perturbations Tomoyuki HAYASHIBE, Naohiko INABA, Hideaki OKAZAKI, Hideo NAKANO, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | There is a case where a simple autonomous differential equation exhibits a surprising change in its oscillation size just by giving an extremely small amount of change to a system parameter. Such phenomenon is called "duck solution". In this paper, we study response of a duck solution in the Rayleigh oscillator driven by an extremely small sinusoidal force. Chaotic behavior appears when a sinusoidal perturbations with an amplitude 0.00005 is applied. Chaotic behavior is verified by Poincare sections and Liapunov exponents. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | chaos / lost solution / nonlinear system |
| Paper # | NLP99-38 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 1999/6/22(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) | Collapse of Duck Solution and Chaos in a Rayleigh Oscillator with Extremely Weak Perturbations |
| Sub Title (in English) | |
| Keyword(1) | chaos |
| Keyword(2) | lost solution |
| Keyword(3) | nonlinear system |
| 1st Author's Name | Tomoyuki HAYASHIBE |
| 1st Author's Affiliation | Department of Information Science, Faculty of Engineering, Utsunomiya University() |
| 2nd Author's Name | Naohiko INABA |
| 2nd Author's Affiliation | Department of Information Science, Faculty of Engineering, Utsunomiya University |
| 3rd Author's Name | Hideaki OKAZAKI |
| 3rd Author's Affiliation | Department of Information Science, Faculty of Engineering, Utsunomiya University |
| 4th Author's Name | Hideo NAKANO |
| 4th Author's Affiliation | Department of Information Science, Faculty of Engineering, Utsunomiya University |
| Date | 1999/6/22 |
| Paper # | NLP99-38 |
| Volume (vol) | vol.99 |
| Number (no) | 134 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |