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Paper Abstract and Keywords
Presentation 2025-03-13 16:45
On numerical computation of the Shilnikov bifurcation -- Formulation of a connecting orbit between two manifolds --
Shintaro Fujimoto (Tokushima Univ.), Daisuke Ito (Gifu Univ.), Tetsushi Ueta (Tokushima Univ.) MSS2024-92 NLP2024-133
Abstract (in Japanese) (See Japanese page) 
(in English) The homoclinic orbit is a structurally unstable solution, and is also known as a separatrix forming a basin of attractions, as well as a global bifurcation. With a small perturbation is applied to the system holding the homoclinic orbit, one possibly can confirm a horseshoe structure near the saddle, theoretically explain the existence of chaotic sets. The orbit connecting a two-dimensional manifold (a surface) and a one-dimensional manifold (a line) is called a Shirnikov orbit, but there are not many examples of this in higher dimensional systems. In this study, we describe the calculation method for Shilnikov orbits and bifurcations in an extended version of the Lorenz equation (3D) and a two-link manipulator (4D) system with a constant torque applied to the joints, and give some results of bifurcation analysis.
Keyword (in Japanese) (See Japanese page) 
(in English) New Lorenz equation / two-link manipulator / Shilnikov orbit / Shilnikov-type orbit / / / /  
Reference Info. IEICE Tech. Rep., vol. 124, no. 432, NLP2024-133, pp. 126-131, March 2025.
Paper # NLP2024-133 
Date of Issue 2025-03-06 (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 MSS2024-92 NLP2024-133

Conference Information
Committee NLP MSS  
Conference Date 2025-03-13 - 2025-03-14 
Place (in Japanese) (See Japanese page) 
Place (in English) Miyakojima City Central Community Center 
Topics (in Japanese) (See Japanese page) 
Topics (in English) MSS, NLP, etc. 
Paper Information
Registration To NLP 
Conference Code 2025-03-NLP-MSS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On numerical computation of the Shilnikov bifurcation 
Sub Title (in English) Formulation of a connecting orbit between two manifolds 
Keyword(1) New Lorenz equation  
Keyword(2) two-link manipulator  
Keyword(3) Shilnikov orbit  
Keyword(4) Shilnikov-type orbit  
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1st Author's Name Shintaro Fujimoto  
1st Author's Affiliation Tokushima University (Tokushima Univ.)
2nd Author's Name Daisuke Ito  
2nd Author's Affiliation Gifu University (Gifu Univ.)
3rd Author's Name Tetsushi Ueta  
3rd Author's Affiliation Tokushima University (Tokushima Univ.)
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Speaker Author-1 
Date Time 2025-03-13 16:45:00 
Presentation Time 110 minutes 
Registration for NLP 
Paper # MSS2024-92, NLP2024-133 
Volume (vol) vol.124 
Number (no) no.431(MSS), no.432(NLP) 
Page pp.126-131 
#Pages 6 
Date of Issue 2025-03-06 (MSS, NLP) 

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