| Presentation | 2024-03-13 Analysis of periodic orbits in digital return maps based on feature quantities Hosei Yamaguchi, Shinya Kujirai, Toshimichi Saito, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A digital map (Dmap) is digital dynamical system defined on a set of points. Depending on parameters, A digital map can generate various periodic orbits. A digital map is suitable for precise numerical analysis and FPGA based hardware implementation. This paper studies basic dynamics of A digital map. In order to analyze the dynamics, we define three feature quantities. The first quantity evaluates complexity of theperiodic orbits. The second quantity evaluates stability of the periodic orbits. The third quantity evaluates irregularity of the periodic orbits. Using the quantities, we investigate various periodic orbits in typical systems. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Digital maps / Periodic orbits / Stability / Auto-correlation |
| Paper # | MSS2023-71,NLP2023-123 |
| Date of Issue | 2024-03-06 (MSS, NLP) |
| Conference Information | |
| Committee | NLP / MSS |
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| Conference Date | 2024/3/13(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kikai-Shinko-Kaikan Bldg. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | MSS, NLP, etc. |
| Chair | Hiroyuki Torikai(Hosei Univ.) / Shingo Yamaguchi(Yamaguchi Univ.) |
| Vice Chair | Yuichi Tanji(Kagawa Univ.) / Toshiyuki Miyamoto(Osaka Inst. of Tech.) |
| Secretary | Yuichi Tanji(Gifu Univ.) / Toshiyuki Miyamoto(Chukyo Univ.) |
| Assistant | Yoshikazu Yamanaka(Utsunomiya Univ.) / Eri Ioka(Shibaura Inst. of Tech.) / Masato Shirai(Shimane Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems / Technical Committee on Mathematical Systems Science and its Applications |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Analysis of periodic orbits in digital return maps based on feature quantities |
| Sub Title (in English) | |
| Keyword(1) | Digital maps |
| Keyword(2) | Periodic orbits |
| Keyword(3) | Stability |
| Keyword(4) | Auto-correlation |
| 1st Author's Name | Hosei Yamaguchi |
| 1st Author's Affiliation | HOSEI University(HU) |
| 2nd Author's Name | Shinya Kujirai |
| 2nd Author's Affiliation | HOSEI University(HU) |
| 3rd Author's Name | Toshimichi Saito |
| 3rd Author's Affiliation | HOSEI University(HU) |
| Date | 2024-03-13 |
| Paper # | MSS2023-71,NLP2023-123 |
| Volume (vol) | vol.123 |
| Number (no) | MSS-427,NLP-428 |
| Page | pp.pp.5-8(MSS), pp.5-8(NLP), |
| #Pages | 4 |
| Date of Issue | 2024-03-06 (MSS, NLP) |