| IEICE Technical Committee Submission System Conference Paper's Information |
Online Proceedings [Sign in] Tech. Rep. Archives |
| Go Top Page | Go Previous | [Japanese] / [English] |
| Paper Abstract and Keywords | ||
| Presentation | 2014-12-04 11:55 Bifurcation Avoidance of Stable Periodic Oscillations in Continuous-Time Duffing Equation Tomohiro Otsu, Ken'ichi Fujimoto, Tetsushi Ueta (Tokushima Univ.), Kazuyuki Aihara (Tokyo Univ.)  NLP2014-111 |
|
| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | We previously proposed a parametric control method to avoid bifurcations of stable fixed and periodic points in discrete-time dynamical systems. The parameter regulation to avoid bifurcations is derived from an optimization problem on the maximum local Lyapunov exponent and the method of steepest descent. This method allows us to predict occurrence of bifurcations caused by unexpected parameter change and to avoid it without directly analyzing bifurcations in advance. In this report, on the basis of the ideas and a stroboscopic mapping that discretizes the trajectory of a continuous-time solution, we propose a methodology to avoid bifurcations of stable periodic oscillations in continuous-time non-autonomous dynamical systems. We also demonstrate that the proposed method can avoid bifurcations of stable periodic solutions in Duffing equation. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Maximum local Lyapunov exponent / stable periodic oscillation / avoidance of bifurcation / continuous– time non-autonomous dynamical system / stroboscopic mapping / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 114, no. 348, NLP2014-111, pp. 69-74, Dec. 2014. | |
| Paper # | NLP2014-111 | |
| Date of Issue | 2014-11-26 (NLP) | |
| ISSN | Print edition: ISSN 0913-5685 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 | NLP2014-111 |
|
| Conference Information | |
| Committee | NLP |
| Conference Date | 2014-12-03 - 2014-12-04 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kyoto Univ. Tokyo Office |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2014-12-NLP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Bifurcation Avoidance of Stable Periodic Oscillations in Continuous-Time Duffing Equation |
| Sub Title (in English) | |
| Keyword(1) | Maximum local Lyapunov exponent |
| Keyword(2) | stable periodic oscillation |
| Keyword(3) | avoidance of bifurcation |
| Keyword(4) | continuous– time non-autonomous dynamical system |
| Keyword(5) | stroboscopic mapping |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Tomohiro Otsu |
| 1st Author's Affiliation | The University of Tokushima (Tokushima Univ.) |
| 2nd Author's Name | Ken'ichi Fujimoto |
| 2nd Author's Affiliation | The University of Tokushima (Tokushima Univ.) |
| 3rd Author's Name | Tetsushi Ueta |
| 3rd Author's Affiliation | The University of Tokushima (Tokushima Univ.) |
| 4th Author's Name | Kazuyuki Aihara |
| 4th Author's Affiliation | The University of Tokyo (Tokyo Univ.) |
| 5th Author's Name | |
| 5th Author's Affiliation | () |
| 6th Author's Name | |
| 6th Author's Affiliation | () |
| 7th Author's Name | |
| 7th Author's Affiliation | () |
| 8th Author's Name | |
| 8th Author's Affiliation | () |
| 9th Author's Name | |
| 9th Author's Affiliation | () |
| 10th Author's Name | |
| 10th Author's Affiliation | () |
| 11th Author's Name | |
| 11th Author's Affiliation | () |
| 12th Author's Name | |
| 12th Author's Affiliation | () |
| 13th Author's Name | |
| 13th Author's Affiliation | () |
| 14th Author's Name | |
| 14th Author's Affiliation | () |
| 15th Author's Name | |
| 15th Author's Affiliation | () |
| 16th Author's Name | |
| 16th Author's Affiliation | () |
| 17th Author's Name | |
| 17th Author's Affiliation | () |
| 18th Author's Name | |
| 18th Author's Affiliation | () |
| Speaker | Author-2 |
| Date Time | 2014-12-04 11:55:00 |
| Presentation Time | 25 minutes |
| Registration for | NLP |
| Paper # | NLP2014-111 |
| Volume (vol) | vol.114 |
| Number (no) | no.348 |
| Page | pp.69-74 |
| #Pages | 6 |
| Date of Issue | 2014-11-26 (NLP) |
[Return to Top Page]