| Presentation | 2018-03-13 Doubly folded Neimark-Sacker bifurcation and two coexisting two-dimensional tori part 3 Tomoki Ikegami, Munehisa Sekikawa, Nataliya Stankevich, Naohiko Inaba, Tetsuro Endo, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We study quasiperiodic bifurcations generated in a discrete dynamics generating three invariant tori. In our previous study, we clarify that two periodic solutions with period 93 and two invariant one-tori that comprises 93 invariant closed curves coexist in Arnol’d tongues. In this study, we show that there exist two types of quasiperiodic saddle-node bifurcations that cause disappearance of the invariant one-tori and the transition from the invariant one-tori to invariant two-tori. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Invariant torus / Arnol’d resonance webs / Quasiperiodic bifurcations |
| Paper # | NLP2017-105 |
| Date of Issue | 2018-03-06 (NLP) |
| Conference Information | |
| Committee | MSS / NLP |
|---|---|
| Conference Date | 2018/3/12(3days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Morikazu Nakamura(Univ. of Ryukyus) / Masaharu Adachi(Tokyo Denki Univ.) |
| Vice Chair | Shigemasa Takai(Osaka Univ.) / Norikazu Takahashi(Okayama Univ.) |
| Secretary | Shigemasa Takai(Toshiba) / Norikazu Takahashi(Osaka Univ.) |
| Assistant | Hideki Kinjo(Okinawa Univ.) / Toshihiro Tachibana(Shonan Inst. of Tech.) / Masayuki Kimura(Kyoto Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Mathematical Systems Science and its applications / Technical Committee on Nonlinear Problems |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Doubly folded Neimark-Sacker bifurcation and two coexisting two-dimensional tori part 3 |
| Sub Title (in English) | |
| Keyword(1) | Invariant torus |
| Keyword(2) | Arnol’d resonance webs |
| Keyword(3) | Quasiperiodic bifurcations |
| 1st Author's Name | Tomoki Ikegami |
| 1st Author's Affiliation | Meiji University(Meiji Univ.) |
| 2nd Author's Name | Munehisa Sekikawa |
| 2nd Author's Affiliation | Utsunomiya University(Utsunomiya Univ.) |
| 3rd Author's Name | Nataliya Stankevich |
| 3rd Author's Affiliation | Yuriy Gagarin State Technical University of Saratov(SSTU) |
| 4th Author's Name | Naohiko Inaba |
| 4th Author's Affiliation | Meiji University(Meiji Univ.) |
| 5th Author's Name | Tetsuro Endo |
| 5th Author's Affiliation | Meiji University(Meiji Univ.) |
| Date | 2018-03-13 |
| Paper # | NLP2017-105 |
| Volume (vol) | vol.117 |
| Number (no) | NLP-505 |
| Page | pp.pp.19-24(NLP), |
| #Pages | 6 |
| Date of Issue | 2018-03-06 (NLP) |