| Presentation | 2023-03-15 A scenario obtaining periodic solutions from third-order autonomous system without equilibrium points Ryuichi Yoshida, Seya Amoh, Tetsushi Ueta, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The generation of periodic solutions is one example of a bifurcation in an autonomous system. Usually, periodic solutions are generated by a Hopf bifurcation at an equilibrium point. In this paper, we focus on a system with periodic solutions but no equilibrium point, and explore the mechanism by which periodic solutions are generated. In one scenario, a Hopf bifurcation was confirmed by adding a new parameter to the system, and the mechanism of the periodic solution was found. For the desired unstable complex conjugate root in the characteristic equation We will consider adding a parameter to generate a Hopf bifurcation for the desired unstable complex conjugate roots in the characteristic equation. Therefore, this paper presents an example of adding a parameter to generate a Hopf bifurcation in a system without equilibrium. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | no equilibrium points / bifurcation analysis |
| Paper # | MSS2022-68,NLP2022-113 |
| Date of Issue | 2023-03-08 (MSS, NLP) |
| Conference Information | |
| Committee | NLP / MSS |
|---|---|
| Conference Date | 2023/3/15(3days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Akio Tsuneda(Kumamoto Univ.) / Atsuo Ozaki(Osaka Inst. of Tech.) |
| Vice Chair | Hiroyuki Torikai(Hosei Univ.) / Shingo Yamaguchi(Yamaguchi Univ.) |
| Secretary | Hiroyuki Torikai(Sojo Univ.) / Shingo Yamaguchi(Gifu Univ.) |
| Assistant | Yuichi Yokoi(Nagasaki Univ.) / Yoshikazu Yamanaka(Utsunomiya Univ.) / Masato Shirai(Shimane Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems / Technical Committee on Mathematical Systems Science and its Applications |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A scenario obtaining periodic solutions from third-order autonomous system without equilibrium points |
| Sub Title (in English) | |
| Keyword(1) | no equilibrium points |
| Keyword(2) | bifurcation analysis |
| 1st Author's Name | Ryuichi Yoshida |
| 1st Author's Affiliation | Tokushima University(Tokushima Univ.) |
| 2nd Author's Name | Seya Amoh |
| 2nd Author's Affiliation | Tokushima University(Tokushima Univ.) |
| 3rd Author's Name | Tetsushi Ueta |
| 3rd Author's Affiliation | Tokushima University(Tokushima Univ.) |
| Date | 2023-03-15 |
| Paper # | MSS2022-68,NLP2022-113 |
| Volume (vol) | vol.122 |
| Number (no) | MSS-435,NLP-436 |
| Page | pp.pp.31-36(MSS), pp.31-36(NLP), |
| #Pages | 6 |
| Date of Issue | 2023-03-08 (MSS, NLP) |