| Presentation | 2004-07-16 Numerical Experiment of the Dependency of Limit Cycles of the Van der Pol Equation on the Type of its Nonlinear Damping Terms Yoshisuke UEDA, Mutsumi HIRASAWA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Van der Pol derived the equation which made his name famous to investigate self-excited oscillatory pehenomena. He adventurously approximated the saturation characteristics of a triode vacuum tube by a cubic curve. In this report we present the results of numerical experiments concerning the limit cycles of the equation when the saturation characteristic is gradually changed from a cubic to a quintic curve. This may in future be the cornerstone for discussing the structural stability of this differential equation. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Van der Pol Equation / Limit Cycle / Damping Term / Saturation Characteristics of Triode Vacuum |
| Paper # | NLP2004-24 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2004/7/9(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) | Numerical Experiment of the Dependency of Limit Cycles of the Van der Pol Equation on the Type of its Nonlinear Damping Terms |
| Sub Title (in English) | |
| Keyword(1) | Van der Pol Equation |
| Keyword(2) | Limit Cycle |
| Keyword(3) | Damping Term |
| Keyword(4) | Saturation Characteristics of Triode Vacuum |
| 1st Author's Name | Yoshisuke UEDA |
| 1st Author's Affiliation | Future University-Hakodate, School of Systems Information Science() |
| 2nd Author's Name | Mutsumi HIRASAWA |
| 2nd Author's Affiliation | Future University-Hakodate, School of Systems Information Science |
| Date | 2004-07-16 |
| Paper # | NLP2004-24 |
| Volume (vol) | vol.104 |
| Number (no) | 197 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |