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Paper Abstract and Keywords
Presentation 2010-03-10 13:25
Behavior of coupled oscillators in a quadratic potential with active area
Koji Kurose, Takahiro Sota (Tohoku Univ.), Yoshihiro Hayakawa (Sendai Nat Coll. of Thech.), Shigeo Sato, Koji Nakajima (Tohoku Univ.) NLP2009-177
Abstract (in Japanese) (See Japanese page) 
(in English) Neuron models express the dynamics of the biological neuron and there are various neuron models that are proposed and studied individually. The neuron models have common characteristics of the spike, and the burst firing that are observed in biological body. Generally, neuron models are represented in the form of multidimensional ordinary differential equations, and have the nonlinearity. Therefore neuron models are researched with the computer simulations and the bifurcation theory. However, it is so difficult that we discuss globally and make unfied understandings because of the nonlinearity. We have proposed a concept, and explained the dynamics of neuron models as a motion of quasi particles in potential with active area. In this paper, we apply the concept for coupled oscillators system and analyze the dynamics by using van der Pol oscillator.
Keyword (in Japanese) (See Japanese page) 
(in English) van der Pol model / oscillator / coupled oscillators / bifurcation theory / potential / active area / /  
Reference Info. IEICE Tech. Rep., vol. 109, no. 458, NLP2009-177, pp. 109-113, March 2010.
Paper # NLP2009-177 
Date of Issue 2010-03-02 (NLP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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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 NLP  
Conference Date 2010-03-09 - 2010-03-10 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NLP 
Conference Code 2010-03-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Behavior of coupled oscillators in a quadratic potential with active area 
Sub Title (in English)  
Keyword(1) van der Pol model  
Keyword(2) oscillator  
Keyword(3) coupled oscillators  
Keyword(4) bifurcation theory  
Keyword(5) potential  
Keyword(6) active area  
Keyword(7)  
Keyword(8)  
1st Author's Name Koji Kurose  
1st Author's Affiliation Tohoku University (Tohoku Univ.)
2nd Author's Name Takahiro Sota  
2nd Author's Affiliation Tohoku University (Tohoku Univ.)
3rd Author's Name Yoshihiro Hayakawa  
3rd Author's Affiliation Sedai National College of Technology (Sendai Nat Coll. of Thech.)
4th Author's Name Shigeo Sato  
4th Author's Affiliation Tohoku University (Tohoku Univ.)
5th Author's Name Koji Nakajima  
5th Author's Affiliation Tohoku University (Tohoku Univ.)
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Speaker Author-1 
Date Time 2010-03-10 13:25:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2009-177 
Volume (vol) vol.109 
Number (no) no.458 
Page pp.109-113 
#Pages
Date of Issue 2010-03-02 (NLP) 


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