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Paper Abstract and Keywords
Presentation 2023-10-07 10:50
Characteristics of traveling waves in inhomogeneous media with FitzHugh-Nagumo model -- focusing on dispersion relations and percolation transition --
Chikoo Oosawa (Kyushu Inst. of Tech.) CAS2023-51 NLP2023-50
Abstract (in Japanese) (See Japanese page) 
(in English) Numerical solutions were obtained from FitzHugh-Nagumo(FHN) model in a two-dimensional media. In order to introduce heterogeneity into the media, we divide a two-dimensional plane into square lattice cells, and cells in which only the diffusion of variables u in the FHN model are allowed are considered inactive cells. Cells in where both reaction and diffusion are allowed considered active cells. These two different types of cells were randomly placed in an arbitrary mixing ratio. With a higher ratio of active cells tend to exhibit a higher speed for the same period. When we impose spatial gradients in the ratio of active cells, propagating waves tend to disappear or broke up in lower active cell mixing area where was around a mixing ratio of 0.5, reminiscent of percolation transition.
Keyword (in Japanese) (See Japanese page) 
(in English) FitzHugh-Nagumo model / reaction-diffusion system / dispersion relation / percolation transition / inhomogeneity / / /  
Reference Info. IEICE Tech. Rep., vol. 123, no. 203, NLP2023-50, pp. 96-99, Oct. 2023.
Paper # NLP2023-50 
Date of Issue 2023-09-29 (CAS, NLP) 
ISSN 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)
Download PDF CAS2023-51 NLP2023-50

Conference Information
Committee NLP CAS  
Conference Date 2023-10-06 - 2023-10-07 
Place (in Japanese) (See Japanese page) 
Place (in English) Work plaza Gifu 
Topics (in Japanese) (See Japanese page) 
Topics (in English) CAS, NLP, etc. 
Paper Information
Registration To NLP 
Conference Code 2023-10-NLP-CAS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Characteristics of traveling waves in inhomogeneous media with FitzHugh-Nagumo model 
Sub Title (in English) focusing on dispersion relations and percolation transition 
Keyword(1) FitzHugh-Nagumo model  
Keyword(2) reaction-diffusion system  
Keyword(3) dispersion relation  
Keyword(4) percolation transition  
Keyword(5) inhomogeneity  
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1st Author's Name Chikoo Oosawa  
1st Author's Affiliation Kyushu Institute of Technology (Kyushu Inst. of Tech.)
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Speaker Author-1 
Date Time 2023-10-07 10:50:00 
Presentation Time 20 minutes 
Registration for NLP 
Paper # CAS2023-51, NLP2023-50 
Volume (vol) vol.123 
Number (no) no.202(CAS), no.203(NLP) 
Page pp.96-99 
#Pages 4 
Date of Issue 2023-09-29 (CAS, NLP) 

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