| Presentation | 2010-10-23 Analysis of XY model with mexican-hat interaction on a circle Tomoyuki KIMOTO, Tatsuya UEZU, Masato OKADA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | When the neural network model of the primary visual cortex and the working memory model in the frontal lobe is discussed, Mexican-hat (MH) type interaction is used. In addition, the hypothesis that the oscillated phenomenon of the neuronal cell has the key role in the banding problem in the primary visual cortex has been proposed. In this study, we analyze a macroscopic properties of the system which consists of the XY-spin corresponding to the phase oscillator with a constant characteristic frequency and which has the MH interaction, by the statistical mechanics. As the results, the system has three kind of the macroscopic states: the Uniformed solution, the Spinning solution and the Pendulum solution. Furthermore, we found that a bistable phase with which these solutions coexist appears depending on the setting of the parameter of HM interaction. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | XY-model / Mexican-hat type interaction / stability analysis / bistability / statistical mechanics |
| Paper # | NC2010-43 |
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| Conference Information | |
| Committee | NC |
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| Conference Date | 2010/10/16(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Neurocomputing (NC) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Analysis of XY model with mexican-hat interaction on a circle |
| Sub Title (in English) | |
| Keyword(1) | XY-model |
| Keyword(2) | Mexican-hat type interaction |
| Keyword(3) | stability analysis |
| Keyword(4) | bistability |
| Keyword(5) | statistical mechanics |
| 1st Author's Name | Tomoyuki KIMOTO |
| 1st Author's Affiliation | Oita National College of Technology() |
| 2nd Author's Name | Tatsuya UEZU |
| 2nd Author's Affiliation | Graduate School of Sciences and Humanities, Nara Women's University |
| 3rd Author's Name | Masato OKADA |
| 3rd Author's Affiliation | Graduate School of Frontier Sciences, University of Tokyo:RIKEN Brain Science Institute |
| Date | 2010-10-23 |
| Paper # | NC2010-43 |
| Volume (vol) | vol.110 |
| Number (no) | 246 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |