Paper Abstract and Keywords |
Presentation |
2010-10-23 11:30
Analysis of XY model with mexican-hat interaction on a circle Tomoyuki Kimoto (Oita National Col. of Tech.), Tatsuya Uezu (Nara Women's Univ.), Masato Okada (Univ. of Tokyo/RIKEN) NC2010-43 |
Abstract |
(in Japanese) |
(See Japanese page) |
(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) |
(in English) |
XY-model / Mexican-hat type interaction / stability analysis / bistability / statistical mechanics / / / |
Reference Info. |
IEICE Tech. Rep., vol. 110, no. 246, NC2010-43, pp. 5-10, Oct. 2010. |
Paper # |
NC2010-43 |
Date of Issue |
2010-10-16 (NC) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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NC2010-43 |
Conference Information |
Committee |
NC |
Conference Date |
2010-10-23 - 2010-10-23 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kyushu Inst. Tech. (Kitakyushu Sci. and Res. Park) |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Implementation and Systemization of Neurocomputing |
Paper Information |
Registration To |
NC |
Conference Code |
2010-10-NC |
Language |
Japanese |
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) |
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Keyword(1) |
XY-model |
Keyword(2) |
Mexican-hat type interaction |
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stability analysis |
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bistability |
Keyword(5) |
statistical mechanics |
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1st Author's Name |
Tomoyuki Kimoto |
1st Author's Affiliation |
Oita National College of Technology (Oita National Col. of Tech.) |
2nd Author's Name |
Tatsuya Uezu |
2nd Author's Affiliation |
Nara Women's University (Nara Women's Univ.) |
3rd Author's Name |
Masato Okada |
3rd Author's Affiliation |
The University of Tokyo/RIKEN (Univ. of Tokyo/RIKEN) |
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Speaker |
Author-1 |
Date Time |
2010-10-23 11:30:00 |
Presentation Time |
25 minutes |
Registration for |
NC |
Paper # |
NC2010-43 |
Volume (vol) |
vol.110 |
Number (no) |
no.246 |
Page |
pp.5-10 |
#Pages |
6 |
Date of Issue |
2010-10-16 (NC) |
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