| Presentation | 2019-10-12 Composition of the digital spike maps based on SOM Yuya Sawano, Toshimichi Saito, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A digital spike map (Dmap) is a simple digital dynamical system defined on a set of points. Thesteady state of the Dmap must be a periodic orbit. Depending on parameters and initial conditions, the Dmapcan generate various periodic orbits. The Dmap is related to various nonlinear systems such as cellular automata, digital spiking neurons, and dynamic binary neural networks. The applications include digital communications andswitching circuit control. In this paper, in order to construct a Dmap, we present a learning algorithm based onthe self-organizing feature map (SOM). As an input signal is applied, the learning algorithm updates the closestelement of the map and its neighbors by interpolation. Quantizing the map after the learning, we obtain a Dmap. As a typical example of input signal, a chaotic signal generated from the bifurcating neuron is used. In order toanalyze the dynamics of the Dmap, we introduce two feature quantities. The first quantity characterizes the ratioof periodic points. The second quantity characterizes the ratio of periodic orbits. Using the two feature quantities, we analyze the behavior of typical Dmaps. The results provide basic information for analysis of nonlinear digitaldynamical systems and its engineering applications. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | digital dynamical systems / periodic orbits / stability |
| Paper # | MBE2019-42,NC2019-33 |
| Date of Issue | 2019-10-04 (MBE, NC) |
| Conference Information | |
| Committee | MBE / NC |
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| Conference Date | 2019/10/11(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Taishin Nomura(Osaka Univ.) / Hayaru Shouno(UEC) |
| Vice Chair | Takashi Watanabe(Tohoku Univ.) / Kazuyuki Samejima(Tamagawa Univ) |
| Secretary | Takashi Watanabe(Kyushu Univ.) / Kazuyuki Samejima(NAIST) |
| Assistant | Yasuyuki Suzuki(Osaka Univ.) / Akihiro Karashima(Tohoku Inst. of Tech.) / Takashi Shinozaki(NICT) / Ken Takiyama(TUAT) |
| Paper Information | |
| Registration To | Technical Committee on ME and Bio Cybernetics / Technical Committee on Neurocomputing |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Composition of the digital spike maps based on SOM |
| Sub Title (in English) | |
| Keyword(1) | digital dynamical systems |
| Keyword(2) | periodic orbits |
| Keyword(3) | stability |
| 1st Author's Name | Yuya Sawano |
| 1st Author's Affiliation | Hosei University(HU) |
| 2nd Author's Name | Toshimichi Saito |
| 2nd Author's Affiliation | Hosei University(HU) |
| Date | 2019-10-12 |
| Paper # | MBE2019-42,NC2019-33 |
| Volume (vol) | vol.119 |
| Number (no) | MBE-224,NC-225 |
| Page | pp.pp.65-65(MBE), pp.65-65(NC), |
| #Pages | 1 |
| Date of Issue | 2019-10-04 (MBE, NC) |