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Paper Abstract and Keywords
Presentation 2007-06-09 09:50
Bifurcations in a 3-State Piecewise Smooth Dynamical System
Quentin Brandon, Tetsushi Ueta (Univ. of Tokushima), Takuji Kousaka (Oita Univ.) NLP2007-25
Abstract (in Japanese) (See Japanese page) 
(in English) As most analysis tools for nonlinear dynamical systems are dedicated to either continuous or discrete models, we propose an analysis method for hybrid systems. Using the Poincar\'e map, we transform the results of partial analysis over the continuous components into a discrete mapping. We can then apply more conventional methods in order to seek for critical values and obtain bifurcation diagrams in the parameters space. In this paper, we describe this method, discuss different approaches to conduct such analysis, and finally present an application example with a 3-state Alpazur oscillator.
Keyword (in Japanese) (See Japanese page) 
(in English) Dynamical systems / Hybrid / Poincare map / Alpazur oscillator / Bifurcation / Chaos / /  
Reference Info. IEICE Tech. Rep., vol. 107, no. 87, NLP2007-25, pp. 13-17, June 2007.
Paper # NLP2007-25 
Date of Issue 2007-06-02 (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 NLP2007-25

Conference Information
Committee NLP  
Conference Date 2007-06-08 - 2007-06-09 
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 2007-06-NLP 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Bifurcations in a 3-State Piecewise Smooth Dynamical System 
Sub Title (in English)  
Keyword(1) Dynamical systems  
Keyword(2) Hybrid  
Keyword(3) Poincare map  
Keyword(4) Alpazur oscillator  
Keyword(5) Bifurcation  
Keyword(6) Chaos  
Keyword(7)  
Keyword(8)  
1st Author's Name Quentin Brandon  
1st Author's Affiliation Tokushima University (Univ. of Tokushima)
2nd Author's Name Tetsushi Ueta  
2nd Author's Affiliation Tokushima University (Univ. of Tokushima)
3rd Author's Name Takuji Kousaka  
3rd Author's Affiliation Oita University (Oita Univ.)
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Speaker Author-1 
Date Time 2007-06-09 09:50:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2007-25 
Volume (vol) vol.107 
Number (no) no.87 
Page pp.13-17 
#Pages 5 
Date of Issue 2007-06-02 (NLP) 

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