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Paper Abstract and Keywords
Presentation 2023-03-15 13:00
A scenario obtaining periodic solutions from third-order autonomous system without equilibrium points
Ryuichi Yoshida, Seya Amoh, Tetsushi Ueta (Tokushima Univ.) MSS2022-68 NLP2022-113
Abstract (in Japanese) (See Japanese page) 
(in English) The generation of periodic solutions is one example of a bifurcation in an autonomous system. Usually, periodic solutions are generated by a Hopf bifurcation at an equilibrium point. In this paper, we focus on a system with periodic solutions but no equilibrium point, and explore the mechanism by which periodic solutions are generated. In one scenario, a Hopf bifurcation was confirmed by adding a new parameter to the system, and the mechanism of the periodic solution was found. For the desired unstable complex conjugate root in the characteristic equation We will consider adding a parameter to generate a Hopf bifurcation for the desired unstable complex conjugate roots in the characteristic equation. Therefore, this paper presents an example of adding a parameter to generate a Hopf bifurcation in a system without equilibrium.
Keyword (in Japanese) (See Japanese page) 
(in English) no equilibrium points / bifurcation analysis / / / / / /  
Reference Info. IEICE Tech. Rep., vol. 122, no. 436, NLP2022-113, pp. 31-36, March 2023.
Paper # NLP2022-113 
Date of Issue 2023-03-08 (MSS, 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 MSS2022-68 NLP2022-113

Conference Information
Committee NLP MSS  
Conference Date 2023-03-15 - 2023-03-17 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
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Paper Information
Registration To NLP 
Conference Code 2023-03-NLP-MSS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A scenario obtaining periodic solutions from third-order autonomous system without equilibrium points 
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Keyword(1) no equilibrium points  
Keyword(2) bifurcation analysis  
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1st Author's Name Ryuichi Yoshida  
1st Author's Affiliation Tokushima University (Tokushima Univ.)
2nd Author's Name Seya Amoh  
2nd Author's Affiliation Tokushima University (Tokushima Univ.)
3rd Author's Name Tetsushi Ueta  
3rd Author's Affiliation Tokushima University (Tokushima Univ.)
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Speaker Author-1 
Date Time 2023-03-15 13:00:00 
Presentation Time 20 minutes 
Registration for NLP 
Paper # MSS2022-68, NLP2022-113 
Volume (vol) vol.122 
Number (no) no.435(MSS), no.436(NLP) 
Page pp.31-36 
#Pages 6 
Date of Issue 2023-03-08 (MSS, NLP) 

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