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Paper Abstract and Keywords
Presentation 2015-07-21 16:45
Analysis of Phase-Inversion Waves on 4 Ladders Including 4 or 8 Van Der Pol Oscillators Coupled by Inductors as A Cross
Mikiya Tanaka, Shouhei Fujimoto, Yoshihito Todani, Masayuki Yamauchi (HIT), Yoshifumi Nishio (Tokushima), Shunji Maeda, Takeshi Tanaka (HIT) NLP2015-74
Abstract (in Japanese) (See Japanese page) 
(in English) Synchronization phenomena are investigated in various fields. We analyzed wave phenomena on a ladder which van der Pol oscillators are coupled by inductors as. In these waves, we can observe continuous propagating waves in steady states. The wave changes phase states between adjacent oscillators from an in-phase synchronization to an anti-phase synchronization or from the anti-phase synchronization to the in-phase synchronization and propagates continuously. We call this wave ``phase-inversion wave.'' Some phase-inversion waves can exist on a ladder if the ladder is constructed by many oscillators. In this study, we construct a cruciform system that four ladders including four or eight van der Pol oscillators are coupled by using four inductors and a van der Pol oscillator. When the eight van der Pol oscillators are coupled for each ladder, domains of which the phase-inversion waves can be observed are investigated and an itinerancy of instantaneous electric power of a center oscillator of the cross are analyzed. When the four van der Pol oscillator are coupled for each ladder, actual circuit experimental results are compared to numerical experimental results and we make clear that the phase-inversion waves can be observed on the cross.
Keyword (in Japanese) (See Japanese page) 
(in English) synchronizaton phenomenon / van der Pol oscillator / phase-inversion wave / cruciform system / / / /  
Reference Info. IEICE Tech. Rep., vol. 115, no. 150, NLP2015-74, pp. 37-42, July 2015.
Paper # NLP2015-74 
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 Phase-Inversion Waves on 4 Ladders Including 4 or 8 Van Der Pol Oscillators Coupled by Inductors as A Cross 
Sub Title (in English)  
Keyword(1) synchronizaton phenomenon  
Keyword(2) van der Pol oscillator  
Keyword(3) phase-inversion wave  
Keyword(4) cruciform system  
Keyword(5)  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Mikiya Tanaka  
1st Author's Affiliation Hiroshima Institute of Technology (HIT)
2nd Author's Name Shouhei Fujimoto  
2nd Author's Affiliation Hiroshima Institute of Technology (HIT)
3rd Author's Name Yoshihito Todani  
3rd Author's Affiliation Hiroshima Institute of Technology (HIT)
4th Author's Name Masayuki Yamauchi  
4th Author's Affiliation Hiroshima Institute of Technology (HIT)
5th Author's Name Yoshifumi Nishio  
5th Author's Affiliation Tokushima University (Tokushima)
6th Author's Name Shunji Maeda  
6th Author's Affiliation Hiroshima Institute of Technology (HIT)
7th Author's Name Takeshi Tanaka  
7th Author's Affiliation Hiroshima Institute of Technology (HIT)
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Speaker Author-1 
Date Time 2015-07-21 16:45:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2015-74 
Volume (vol) vol.115 
Number (no) no.150 
Page pp.37-42 
#Pages 6 
Date of Issue 2015-07-14 (NLP) 

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