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| Presentation | 2010-03-10 13:50 Exponential transient oscillations and their stabilization in a bistable ring of unidirectionally coupled maps Yo Horikawa, Hiroyuki Kitajima (Kagawa Univ.)  NLP2009-178 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | We study properties of traveling waves and oscillations in a bistable ring of unidirectionally coupled maps. A kinematical model of the traveling waves shows that the duration of transient oscillations increases exponentially with the number of elements when coupling is weak. The probability density function of the duration of oscillations generated under random initial conditions has a power law form. In addition, spatiotemporal noise of intermediate strength increases the duration of oscillations. Further, oscillations are stabilized through period doubling bifurcations or Neimark-Sacker bifurcations as the strength of coupling increases. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Exponential transient / Coupled map lattice / Bistable system / Traveling wave / Power law distribution / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 109, no. 458, NLP2009-178, pp. 115-120, March 2010. | |
| Paper # | NLP2009-178 | |
| Date of Issue | 2010-03-02 (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 | NLP2009-178 |
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| Conference Information | |
| Committee | NLP |
| Conference Date | 2010-03-09 - 2010-03-10 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2010-03-NLP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Exponential transient oscillations and their stabilization in a bistable ring of unidirectionally coupled maps |
| Sub Title (in English) | |
| Keyword(1) | Exponential transient |
| Keyword(2) | Coupled map lattice |
| Keyword(3) | Bistable system |
| Keyword(4) | Traveling wave |
| Keyword(5) | Power law distribution |
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| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Yo Horikawa |
| 1st Author's Affiliation | Kagawa University (Kagawa Univ.) |
| 2nd Author's Name | Hiroyuki Kitajima |
| 2nd Author's Affiliation | Kagawa University (Kagawa Univ.) |
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| Speaker | Author-1 |
| Date Time | 2010-03-10 13:50:00 |
| Presentation Time | 25 minutes |
| Registration for | NLP |
| Paper # | NLP2009-178 |
| Volume (vol) | vol.109 |
| Number (no) | no.458 |
| Page | pp.115-120 |
| #Pages | 6 |
| Date of Issue | 2010-03-02 (NLP) |
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