| Presentation | 2016-07-21 Particle Swarm Optimization for Calculating Period Doubling Bifurcation Point in One-dimensional Discrete Time Dynamical Systems Yusho Tomimura, Hiroaki Kurokawa, Haruna Matsushita, Takuji Kousaka, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we propose the bifurcation point derivation method of one dimensional discrete-time dynamical systems using particle swarm optimization (PSO) . First, we describe the algorithm of PSO, which is the one of the optimization method. Next, we define the expression of one-dimensional discrete-time dynamical systems, and show the period doubling bifurcation point derivation method in the system. Then, we apply the proposed method to one-dimensional map called circle map. Finally, we refer to the application result, and consider the efficacy of proposed method. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Particle swarm optimization / One-dimensional discrete time / Period doubling bifurcation |
| Paper # | NLP2016-35 |
| 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) | Particle Swarm Optimization for Calculating Period Doubling Bifurcation Point in One-dimensional Discrete Time Dynamical Systems |
| Sub Title (in English) | |
| Keyword(1) | Particle swarm optimization |
| Keyword(2) | One-dimensional discrete time |
| Keyword(3) | Period doubling bifurcation |
| 1st Author's Name | Yusho Tomimura |
| 1st Author's Affiliation | Oita University(Oita Univ.) |
| 2nd Author's Name | Hiroaki Kurokawa |
| 2nd Author's Affiliation | Tokyo University of Technology(Tokyo Univ. of Technology) |
| 3rd Author's Name | Haruna Matsushita |
| 3rd Author's Affiliation | Kagawa University(Kagawa Univ.) |
| 4th Author's Name | Takuji Kousaka |
| 4th Author's Affiliation | Oita University(Oita Univ.) |
| Date | 2016-07-21 |
| Paper # | NLP2016-35 |
| Volume (vol) | vol.116 |
| Number (no) | NLP-151 |
| Page | pp.pp.9-12(NLP), |
| #Pages | 4 |
| Date of Issue | 2016-07-14 (NLP) |