| Presentation | 2016-07-21 Mixed-mode oscillation-incrementing bifurcations and universal constant from BVP oscillators Part 3 Naohiko Inaba, Kuniyasu Shimizu, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Mixed-mode oscillations (MMOs) have been the subjects of intensive research in recent years. In this study, we analyze the extended BVP oscillator with a diode that generates MMO-incrementing bifurcations (MMOIBs) successively many times and assert that MMOIBs are caused in a similar manner to that of period-adding bifurcations generated in the circle map. We predict that the universal constant could converge to 1.0. This study clarifies that why each MMO-sequence has a relation to a Farey sequence and is terminated by chaos in the parameter space. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | MMOs / MMO-incrementing bifurcations / extended BVP oscillator / singular perturbation method of idealized diode type |
| Paper # | NLP2016-38 |
| Date of Issue | 2016-07-14 (NLP) |
| Conference Information | |
| Committee | NLP |
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| Conference Date | 2016/7/21(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Hokkaido Univ. Centennial Hall |
| 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) | Mixed-mode oscillation-incrementing bifurcations and universal constant from BVP oscillators Part 3 |
| Sub Title (in English) | |
| Keyword(1) | MMOs |
| Keyword(2) | MMO-incrementing bifurcations |
| Keyword(3) | extended BVP oscillator |
| Keyword(4) | singular perturbation method of idealized diode type |
| 1st Author's Name | Naohiko Inaba |
| 1st Author's Affiliation | Meiji University(Meiji Univ.) |
| 2nd Author's Name | Kuniyasu Shimizu |
| 2nd Author's Affiliation | Chiba Institute of Technology(Chiba Inst. Tech.) |
| Date | 2016-07-21 |
| Paper # | NLP2016-38 |
| Volume (vol) | vol.116 |
| Number (no) | NLP-151 |
| Page | pp.pp.21-26(NLP), |
| #Pages | 6 |
| Date of Issue | 2016-07-14 (NLP) |