Presentation | 2011-03-10 Propagating pulse wave observed in a ring of six-coupled hard-type van der Pol oscillators : A case starting from type 2 standing wave Kyohei KAMIYAMA, Motomasa KOMURO, Tetsuro ENDO, Kuniyasu SHIMIZU, |
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Abstract(in English) | We investigate bifurcation of Type 2-periodic solution in a ring of 6 coupled hard-type van der Pol oscillators. As a result, it is clarified that bifurcation of a periodic solution (standing wave solution) to the quasi-periodic solution (propagating wave solution) or that of a quasi-periodic to a periodic solution is due to pitchfork and heteroclinic bifurcation. In addition, existence and bifurcation of the switching solution (a quasi-periodic solution) is also investigated. It seems that death and birth of the switching solution is pitchfork bifurcation of the quasi-periodic solution. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | hard type oscillator / ring coupling / propagating wave / heteroclinic bifurcation / switching solution / bifurcation of quasi-periodic solution |
Paper # | NLP2010-175 |
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Committee | NLP |
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Conference Date | 2011/3/3(1days) |
Place (in Japanese) | (See Japanese page) |
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Registration To | Nonlinear Problems (NLP) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | Propagating pulse wave observed in a ring of six-coupled hard-type van der Pol oscillators : A case starting from type 2 standing wave |
Sub Title (in English) | |
Keyword(1) | hard type oscillator |
Keyword(2) | ring coupling |
Keyword(3) | propagating wave |
Keyword(4) | heteroclinic bifurcation |
Keyword(5) | switching solution |
Keyword(6) | bifurcation of quasi-periodic solution |
1st Author's Name | Kyohei KAMIYAMA |
1st Author's Affiliation | Meiji University() |
2nd Author's Name | Motomasa KOMURO |
2nd Author's Affiliation | Teikyo University of Science |
3rd Author's Name | Tetsuro ENDO |
3rd Author's Affiliation | Meiji University |
4th Author's Name | Kuniyasu SHIMIZU |
4th Author's Affiliation | Chiba Institute of Technology |
Date | 2011-03-10 |
Paper # | NLP2010-175 |
Volume (vol) | vol.110 |
Number (no) | 465 |
Page | pp.pp.- |
#Pages | 8 |
Date of Issue |