| Presentation | 2016-06-14 Arnold tongues in Manifold Piecewise-linear Circuit Duc Viet Le, Tadashi Tsubone, Naohiko Inaba, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In nonlinear systems which exhibit oscillation phenomena, it is well-known that phase-locked regions (also called as Arnold tongues) are often observed. However, the examples of theoretical analysis of Arnold tongues and bifurcation phenomena in autonomous circuit are quite rare. Therefore, in this paper, we propose an autonomous manifold piecewise-linear circuit. The Poincare map of this circuit is a explicit equation and thus can be rigorously derived. Using the Poincare map, we consider the generation and rigorous analysis of some interesting nonlinear phenomena such as quasi-periodic oscillation, Arnold tongues and bifurcation phenomena. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Quasi-periodic oscillation / Arnold tongues / Autonomous circuit |
| Paper # | NLP2016-30,CCS2016-13 |
| Date of Issue | 2016-06-06 (NLP, CCS) |
| Conference Information | |
| Committee | CCS / NLP |
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| Conference Date | 2016/6/13(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kikai-Shinko-Kaikan Bldg. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Nonlinear Science, Complexity Science, etc. |
| Chair | Yasuhiro Tsubo(Ritsumeikan Univ.) / Hisato Fujisaka(Hiroshima City Univ.) |
| Vice Chair | Naoki Wakamiya(Osaka Univ.) / Mikio Hasegawa(Tokyo Univ. of Science) / Masaharu Adachi(Tokyo Denki Univ.) |
| Secretary | Naoki Wakamiya(Kyoto Sangyo Univ.) / Mikio Hasegawa(Osaka Univ.) / Masaharu Adachi(Konan Univ.) |
| Assistant | Takayuki Kimura(Nippon Inst. of Tech.) / Song-Ju Kim(NIMS) / Ryo Takahashi(Kyoto Univ.) / Hidehiro Nakano(Tokyo City Univ.) / Hiroyuki Asahara(Okayama Univ. of Science) / Toshihiro Tachibana(Shonan Inst. of Tech.) |
| Paper Information | |
| Registration To | Technical Committee on Complex Communication Sciences / Technical Committee on Nonlinear Problems |
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| Language | ENG-JTITLE |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Arnold tongues in Manifold Piecewise-linear Circuit |
| Sub Title (in English) | |
| Keyword(1) | Quasi-periodic oscillation |
| Keyword(2) | Arnold tongues |
| Keyword(3) | Autonomous circuit |
| 1st Author's Name | Duc Viet Le |
| 1st Author's Affiliation | Nagaoka University of Technology(Nagaoka Univ. of Tech.) |
| 2nd Author's Name | Tadashi Tsubone |
| 2nd Author's Affiliation | Nagaoka University of Technology(Nagaoka Univ. of Tech.) |
| 3rd Author's Name | Naohiko Inaba |
| 3rd Author's Affiliation | Meiji university(Meiji Univ.) |
| Date | 2016-06-14 |
| Paper # | NLP2016-30,CCS2016-13 |
| Volume (vol) | vol.116 |
| Number (no) | NLP-86,CCS-87 |
| Page | pp.pp.57-60(NLP), pp.57-60(CCS), |
| #Pages | 4 |
| Date of Issue | 2016-06-06 (NLP, CCS) |