Presentation 2013-04-25
Three-torus and Arnold tongue
Munehisa SEKIKAWA, Sumito FUJIWARA, Naohiko INABA, Tetsuro ENDO,
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Abstract(in English) A two-torus and a three-torus in continuous dynamical systems have been a subject of intense research in recent years. The two-parameter bifurcation diagram in the region generating three-torus is investigated in this report. A large number of ICC-Arnold tongues are observed, which are located in parallel in the same direction in three directions. In addition, it is observed that Arnold tongue bifurcates ICC-torus Arnold tongue via a Neimark-Sacker bifurcation in the neighborhood of quasi-periodic Neimark-Sacker bifurcation curves and quasi-periodic saddle-node bifurcation curves.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) two-torus / three-torus / Arnold tongues / nonlinear dynamics
Paper # NLP2013-6
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Committee NLP
Conference Date 2013/4/18(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Three-torus and Arnold tongue
Sub Title (in English)
Keyword(1) two-torus
Keyword(2) three-torus
Keyword(3) Arnold tongues
Keyword(4) nonlinear dynamics
1st Author's Name Munehisa SEKIKAWA
1st Author's Affiliation Institute of Industrial Science, the University of Tokyo()
2nd Author's Name Sumito FUJIWARA
2nd Author's Affiliation HAMAMATSU, Japan
3rd Author's Name Naohiko INABA
3rd Author's Affiliation Organization for the Strategic Coordination of Reseach and Intellectual Property, Meiji University
4th Author's Name Tetsuro ENDO
4th Author's Affiliation Department of Electronics and Bioinformatics, Meiji University
Date 2013-04-25
Paper # NLP2013-6
Volume (vol) vol.113
Number (no) 15
Page pp.pp.-
#Pages 5
Date of Issue