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| Presentation | 2015-06-12 12:45 A Method for Obtaining Saddle Type Quasi-Periodic Solution of 2-Torus Double Covering Bifurcation in Phase Locked Loop Equation Kyohei Kamiyama (Meiji Univ.), Motomasa Komuro (Teikyo Univ. of Sci.), Tetsuro Endo (Meiji Univ.)  NLP2015-59 CCS2015-21 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | We developed obtaining method for the saddle quasi-periodic solution in continuous and discrete time dynamical system by using bisection method. It is necessary that the target saddle quasi-periodic solution is sandwiched by two different attractors to apply this method. Therefore, we can not apply this method to the saddle quasi-periodic solution which is bifurcated in double covering bifurcation which doubles number of tunrs of attractor. In this report, we explain saddle quasi-periodic solution of double covering bifurcation in discrete time dynamical system can be obtained, if this discrete system originated in continuous time dynamical system by taking Poincar'e section. We demonstrate this by using the circuit equation of a phase locked loop circuit. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | saddle quasi-periodic solution / double covering bifurcation / phase locked loop / bisection method / Poincare section / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 115, no. 77, NLP2015-59, pp. 121-124, June 2015. | |
| Paper # | NLP2015-59 | |
| Date of Issue | 2015-06-04 (NLP, CCS) | |
| 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 | NLP2015-59 CCS2015-21 |
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| Conference Information | |
| Committee | NLP CCS |
| Conference Date | 2015-06-11 - 2015-06-12 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Waseda Univerisity |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2015-06-NLP-CCS |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Method for Obtaining Saddle Type Quasi-Periodic Solution of 2-Torus Double Covering Bifurcation in Phase Locked Loop Equation |
| Sub Title (in English) | |
| Keyword(1) | saddle quasi-periodic solution |
| Keyword(2) | double covering bifurcation |
| Keyword(3) | phase locked loop |
| Keyword(4) | bisection method |
| Keyword(5) | Poincare section |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Kyohei Kamiyama |
| 1st Author's Affiliation | Meiji University (Meiji Univ.) |
| 2nd Author's Name | Motomasa Komuro |
| 2nd Author's Affiliation | University of Science (Teikyo Univ. of Sci.) |
| 3rd Author's Name | Tetsuro Endo |
| 3rd Author's Affiliation | Meiji UniversityTeikyo (Meiji Univ.) |
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| Speaker | Author-1 |
| Date Time | 2015-06-12 12:45:00 |
| Presentation Time | 25 minutes |
| Registration for | NLP |
| Paper # | NLP2015-59, CCS2015-21 |
| Volume (vol) | vol.115 |
| Number (no) | no.77(NLP), no.78(CCS) |
| Page | pp.121-124 |
| #Pages | 4 |
| Date of Issue | 2015-06-04 (NLP, CCS) |
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