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| Presentation | 2014-07-22 11:55 The relation between modified Froeschle map and q-Gaussian distribution Kenichi Okubo, Ken Umeno (Kyoto Univ.)  NLP2014-43 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Froeschl'e map has Nekhoroshev regime ($epsilon leq 0.9$) and Chirikov regime ($1.3 leq epsilon$) which are distinguished by the value of $epsilon$. In Nekhoroshev regime, Arnold diffusion can be observed and in Chirikov regime, Chirikov diffusion can be observed. In Nekhoroshev regime, the behavior of diffusion is slow and follows power law. On the other hand, in Chirikov regime, the diffusion follows normal diffusion. However, a thorough investigation hasn't been done about the range of $0.9 < epsilon < 1.3$. Therefore, we haven't known how the behavior of diffusion change. q-Gaussian has a threshold of q from Gaussian distribution to power distribution. We try to obtain the value of $epsilon$ which is a threshold of behavior of diffusion. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Arnold diffusion / Chirikov diffusion / Hamiltonian dynamical system / chaos / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 114, no. 145, NLP2014-43, pp. 65-70, July 2014. | |
| Paper # | NLP2014-43 | |
| Date of Issue | 2014-07-14 (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 | NLP2014-43 |
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| Conference Information | |
| Committee | NLP |
| Conference Date | 2014-07-21 - 2014-07-22 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Hakodate City Central Library |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Nonlinear Problems, etc. |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2014-07-NLP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | The relation between modified Froeschle map and q-Gaussian distribution |
| Sub Title (in English) | |
| Keyword(1) | Arnold diffusion |
| Keyword(2) | Chirikov diffusion |
| Keyword(3) | Hamiltonian dynamical system |
| Keyword(4) | chaos |
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| 1st Author's Name | Kenichi Okubo |
| 1st Author's Affiliation | Kyoto University (Kyoto Univ.) |
| 2nd Author's Name | Ken Umeno |
| 2nd Author's Affiliation | Kyoto University (Kyoto Univ.) |
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| Speaker | Author-1 |
| Date Time | 2014-07-22 11:55:00 |
| Presentation Time | 25 minutes |
| Registration for | NLP |
| Paper # | NLP2014-43 |
| Volume (vol) | vol.114 |
| Number (no) | no.145 |
| Page | pp.65-70 |
| #Pages | 6 |
| Date of Issue | 2014-07-14 (NLP) |
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