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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
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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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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)  
Keyword(1) XY-model  
Keyword(2) Mexican-hat type interaction  
Keyword(3) stability analysis  
Keyword(4) 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
Date of Issue 2010-10-16 (NC) 


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