| Presentation | 2024-03-14 Stability and implementation of mixed rule cellular automata Kazuma Matsushita, Toshimichi Saito, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper studies mixed-rule cellular automata (MCA) governed by two rules of simple Boolean functions. Depending on the rules, the MCA can generate various periodic orbits. As a typical examples, we consider a periodic orbit corresponding to a control signal of hexapod walking robots. In order to analyze stability of the periodic orbits, we introduce a simple feature quantity. In order to visualize dynamics of the MCA, we introduce the digital return map. We have discovered suitable rule pairs in which the MCA generates a strong stable peridic orbit. Such a periodic orbit is impossible in elementary cellular automata. Presenting a simple FPGA based hardware prototype, typical periodic orbits are confirmed experimently. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | cellular automata / periodic orbit / stability / hexapod walking robot / FPGA |
| Paper # | MSS2023-90,NLP2023-142 |
| Date of Issue | 2024-03-06 (MSS, NLP) |
| Conference Information | |
| Committee | NLP / MSS |
|---|---|
| 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 |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Stability and implementation of mixed rule cellular automata |
| Sub Title (in English) | |
| Keyword(1) | cellular automata |
| Keyword(2) | periodic orbit |
| Keyword(3) | stability |
| Keyword(4) | hexapod walking robot |
| Keyword(5) | FPGA |
| 1st Author's Name | Kazuma Matsushita |
| 1st Author's Affiliation | HOSEI University(HU) |
| 2nd Author's Name | Toshimichi Saito |
| 2nd Author's Affiliation | HOSEI University(HU) |
| Date | 2024-03-14 |
| Paper # | MSS2023-90,NLP2023-142 |
| Volume (vol) | vol.123 |
| Number (no) | MSS-427,NLP-428 |
| Page | pp.pp.93-96(MSS), pp.93-96(NLP), |
| #Pages | 4 |
| Date of Issue | 2024-03-06 (MSS, NLP) |