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Paper Abstract and Keywords
Presentation 2015-07-21 16:20
Analysis of Wave-Motion on 9 or 10 Van Der Pol Oscillators Coupled by Inductors as A Ring
Ryouhei Takano, Shouhei Fujimoto, Masayuki Yamauchi, Shunji Maeda, Takeshi Tanaka (Hiroshima I.T.) NLP2015-73
Abstract (in Japanese) (See Japanese page) 
(in English) We can observed various synchronization phenomena on coupled oscillators.
Changing synchronization states can be observed on coupled chaotic oscillators for eternity.However, we are hard to observe that ontinuously changing synchronization states exist on coupled van der Pol oscillators. In our previous study, we observed waves which continuously change the phase states between adjacent oscillators and propagate on ladder systems and on 2D lattice systems. For example, the wave, which changes phase states between adjacent oscillators from an in-phase synchronization to an anti-phase synchronization, continuously propagates, when all oscillators are in-phase synchronization and a phase state between an edge oscillator and a neighborhood oscillator is suddenly changed from the in-phase synchronization to the anti-phase synchronization. We call this wave a phase-inversion wave. In this study, domains of which phase-inversion waves exist are investigated by changing coupling parameters and nonlinearity on 9 or 10 van der Pol oscillators coupled by inductors as a ring. Instantaneous electric powers of the observation phenomena are investigated. The observation phenomena are compared to phenomena which are observed on a ring of 99 van der Pol oscillators or a ring of 100 van der Pol oscillators. Furthermore, actual circuit experimental results are compared to numerical experimental results on the rings of 9 or 10 van der Pol oscillators.
Keyword (in Japanese) (See Japanese page) 
(in English) synchronization phenomenon / phase-inversion wave / actual circuit experiment / ringed oscillators / / / /  
Reference Info. IEICE Tech. Rep., vol. 115, no. 150, NLP2015-73, pp. 31-36, July 2015.
Paper # NLP2015-73 
Date of Issue 2015-07-14 (NLP) 
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 NLP  
Conference Date 2015-07-21 - 2015-07-22 
Place (in Japanese) (See Japanese page) 
Place (in English) Bibai Onsen Yu-rinkan 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Nonlinear Problems, etc. 
Paper Information
Registration To NLP 
Conference Code 2015-07-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Analysis of Wave-Motion on 9 or 10 Van Der Pol Oscillators Coupled by Inductors as A Ring 
Sub Title (in English)  
Keyword(1) synchronization phenomenon  
Keyword(2) phase-inversion wave  
Keyword(3) actual circuit experiment  
Keyword(4) ringed oscillators  
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1st Author's Name Ryouhei Takano  
1st Author's Affiliation Hiroshima Institute of Technology (Hiroshima I.T.)
2nd Author's Name Shouhei Fujimoto  
2nd Author's Affiliation Hiroshima Institute of Technology (Hiroshima I.T.)
3rd Author's Name Masayuki Yamauchi  
3rd Author's Affiliation Hiroshima Institute of Technology (Hiroshima I.T.)
4th Author's Name Shunji Maeda  
4th Author's Affiliation Hiroshima Institute of Technology (Hiroshima I.T.)
5th Author's Name Takeshi Tanaka  
5th Author's Affiliation Hiroshima Institute of Technology (Hiroshima I.T.)
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Speaker Author-1 
Date Time 2015-07-21 16:20:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2015-73 
Volume (vol) vol.115 
Number (no) no.150 
Page pp.31-36 
#Pages 6 
Date of Issue 2015-07-14 (NLP) 

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