| 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 Japanese) | (See Japanese page) |
| 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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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2011/3/3(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (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 | |