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Paper Abstract and Keywords
Presentation 2025-12-11 11:20
A Study on Stability of Intrinsic Localized Modes for Bonding Number of Mixed Scalar Lattices
Masayuki Kimura (Setsuan Univ.) NLP2025-58
Abstract (in Japanese) (See Japanese page) 
(in English) The stability change between two types of stationary ILMs, namely the Sievers-Takeno (ST) mode and the Page (P) mode, is known as a phenomenon that enhances the mobility of high-energy moving ILMs. Particularly in the mixed lattices with quartic nonlinearity in both the on-site and the coupling potential, it has been clarified that the balance between these nonlinearities is the factor causing the stability change.
In this study, we consider a mixed scalar lattice with an arbitrary bonding number and analytically derive the energy difference between the ST and P modes in the high-energy limit, assuming a strongly localized state.
The results reveal that for bonding number 3 or higher, the stability change does not occur even when adjusting the balance of nonlinearities.
Keyword (in Japanese) (See Japanese page) 
(in English) Nonlinear Localized Vibration / Nonlinear Lattice / Mixed Scalar Lattice / Moving Localized Vibration / / / /  
Reference Info. IEICE Tech. Rep., vol. 125, no. 283, NLP2025-58, pp. 27-32, Dec. 2025.
Paper # NLP2025-58 
Date of Issue 2025-12-04 (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 NLP2025-58

Conference Information
Committee NLP  
Conference Date 2025-12-11 - 2025-12-12 
Place (in Japanese) (See Japanese page) 
Place (in English) Kochi Castle Museum of History 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Nonlinear problem, etc 
Paper Information
Registration To NLP 
Conference Code 2025-12-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Study on Stability of Intrinsic Localized Modes for Bonding Number of Mixed Scalar Lattices 
Sub Title (in English)  
Keyword(1) Nonlinear Localized Vibration  
Keyword(2) Nonlinear Lattice  
Keyword(3) Mixed Scalar Lattice  
Keyword(4) Moving Localized Vibration  
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1st Author's Name Masayuki Kimura  
1st Author's Affiliation Setsunan University (Setsuan Univ.)
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Speaker Author-1 
Date Time 2025-12-11 11:20:00 
Presentation Time 20 minutes 
Registration for NLP 
Paper # NLP2025-58 
Volume (vol) vol.125 
Number (no) no.283 
Page pp.27-32 
#Pages 6 
Date of Issue 2025-12-04 (NLP) 

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