| Presentation | 2016-09-14 Nonlinear phenomena observed in the piecewise hysteresis Duffing equation Yuu Miino, Tetsushi Ueta, Hiroshi Kawakami, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Hysteresis property can be modeled as a piecewise linear function with the hybrid system approach. In this study, we model the hysteresis property in the circuit model of the Duffing equation by a piecewise linear function. In analysis, we observe and consider the effect caused from the hysteresis property. In addition, we focus on the observed phenomena: nonlinear resonance, the devil's staircase and so on. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | hysteresis phenomena / Duffing equation / bifurcation analysis / hybrid system / nonlinear resonance / the devil's staircase |
| Paper # | NLP2016-50 |
| Date of Issue | 2016-09-07 (NLP) |
| Conference Information | |
| Committee | NLP |
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| Conference Date | 2016/9/14(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Konan Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Hisato Fujisaka(Hiroshima City Univ.) |
| Vice Chair | Masaharu Adachi(Tokyo Denki Univ.) |
| Secretary | Masaharu Adachi(Konan Univ.) |
| Assistant | Hiroyuki Asahara(Okayama Univ. of Science) / Toshihiro Tachibana(Shonan Inst. of Tech.) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Nonlinear phenomena observed in the piecewise hysteresis Duffing equation |
| Sub Title (in English) | |
| Keyword(1) | hysteresis phenomena |
| Keyword(2) | Duffing equation |
| Keyword(3) | bifurcation analysis |
| Keyword(4) | hybrid system |
| Keyword(5) | nonlinear resonance |
| Keyword(6) | the devil's staircase |
| 1st Author's Name | Yuu Miino |
| 1st Author's Affiliation | Tokushima University(Tokushima Univ.) |
| 2nd Author's Name | Tetsushi Ueta |
| 2nd Author's Affiliation | Tokushima University(Tokushima Univ.) |
| 3rd Author's Name | Hiroshi Kawakami |
| 3rd Author's Affiliation | Professer emeritus of Tokushima University(Tokushima Univ.) |
| Date | 2016-09-14 |
| Paper # | NLP2016-50 |
| Volume (vol) | vol.116 |
| Number (no) | NLP-215 |
| Page | pp.pp.31-36(NLP), |
| #Pages | 6 |
| Date of Issue | 2016-09-07 (NLP) |