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Paper Abstract and Keywords
Presentation 2012-09-20 15:20
Bifurcation transitions among stable limit cycle, two-torus, and three-torus
Kaoru Itoh, Naohiko Inaba (Meiji Univ.), Munehisa Sekikawa (Univ. Tokyo), Tetsuro Endo (Meiji Univ.) CAS2012-36 NLP2012-62
Abstract (in Japanese) (See Japanese page) 
(in English) In this study, we discuss bifurcation transitions among a stable limit cycle, a two-torus and a three-
-torus. It is considered that saddle-node bifurcations and Neimark-Sacker bifurcations could be related to these
transitions. We propose a dynamics with minimum demension that generats a three-torus, and verify some of these
transitions in numerical experiments. We con rm that a two-torus is generated through a saddle-node bifurcation
and is followed by a three-torus via a Neimark-Sacker bifurcation.
Keyword (in Japanese) (See Japanese page) 
(in English) limit cycle / two-torus / three-torus / / / / /  
Reference Info. IEICE Tech. Rep., vol. 112, no. 205, NLP2012-62, pp. 37-40, Sept. 2012.
Paper # NLP2012-62 
Date of Issue 2012-09-13 (CAS, NLP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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Conference Information
Committee NLP CAS  
Conference Date 2012-09-20 - 2012-09-21 
Place (in Japanese) (See Japanese page) 
Place (in English) Eikokuji Campus, University of Kochi 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To NLP 
Conference Code 2012-09-NLP-CAS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Bifurcation transitions among stable limit cycle, two-torus, and three-torus 
Sub Title (in English)  
Keyword(1) limit cycle  
Keyword(2) two-torus  
Keyword(3) three-torus  
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1st Author's Name Kaoru Itoh  
1st Author's Affiliation Meiji University (Meiji Univ.)
2nd Author's Name Naohiko Inaba  
2nd Author's Affiliation Meiji University (Meiji Univ.)
3rd Author's Name Munehisa Sekikawa  
3rd Author's Affiliation The University of Tokyo (Univ. Tokyo)
4th Author's Name Tetsuro Endo  
4th Author's Affiliation Meiji University (Meiji Univ.)
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Speaker
Date Time 2012-09-20 15:20:00 
Presentation Time 25 
Registration for NLP 
Paper # IEICE-CAS2012-36,IEICE-NLP2012-62 
Volume (vol) IEICE-112 
Number (no) no.204(CAS), no.205(NLP) 
Page pp.37-40 
#Pages IEICE-4 
Date of Issue IEICE-CAS-2012-09-13,IEICE-NLP-2012-09-13 


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