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Paper Abstract and Keywords
Presentation 2014-07-22 11:55
The relation between modified Froeschle map and q-Gaussian distribution
Kenichi Okubo, Ken Umeno (Kyoto Univ.) NLP2014-43
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.
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

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  
Keyword(5)  
Keyword(6)  
Keyword(7)  
Keyword(8)  
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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