| Presentation | 2015-07-21 Analysis of Wave-Motion on 9 or 10 Van Der Pol Oscillators Coupled by Inductors as A Ring Ryouhei Takano, Shouhei Fujimoto, Masayuki Yamauchi, Shunji Maeda, Takeshi Tanaka, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We can observed various synchronization phenomena on coupled oscillators. Changing synchronization states can be observed on coupled chaotic oscillators for eternity.However, we are hard to observe that ontinuously changing synchronization states exist on coupled van der Pol oscillators. In our previous study, we observed waves which continuously change the phase states between adjacent oscillators and propagate on ladder systems and on 2D lattice systems. For example, the wave, which changes phase states between adjacent oscillators from an in-phase synchronization to an anti-phase synchronization, continuously propagates, when all oscillators are in-phase synchronization and a phase state between an edge oscillator and a neighborhood oscillator is suddenly changed from the in-phase synchronization to the anti-phase synchronization. We call this wave a phase-inversion wave. In this study, domains of which phase-inversion waves exist are investigated by changing coupling parameters and nonlinearity on 9 or 10 van der Pol oscillators coupled by inductors as a ring. Instantaneous electric powers of the observation phenomena are investigated. The observation phenomena are compared to phenomena which are observed on a ring of 99 van der Pol oscillators or a ring of 100 van der Pol oscillators. Furthermore, actual circuit experimental results are compared to numerical experimental results on the rings of 9 or 10 van der Pol oscillators. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | synchronization phenomenon / phase-inversion wave / actual circuit experiment / ringed oscillators |
| Paper # | NLP2015-73 |
| Date of Issue | 2015-07-14 (NLP) |
| Conference Information | |
| Committee | NLP |
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| Conference Date | 2015/7/21(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Bibai Onsen Yu-rinkan |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Nonlinear Problems, etc. |
| Chair | Kenya Jinno(Nippon Inst. of Tech.) |
| Vice Chair | Naoto Fujisaka(Hiroshima City Univ.) |
| Secretary | Naoto Fujisaka(Tokyo Univ. of Science) |
| Assistant | Hidehiro Nakano(Tokyo City Univ.) / Hiroyuki Asahara(Okayama Univ. of Science) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Analysis of Wave-Motion on 9 or 10 Van Der Pol Oscillators Coupled by Inductors as A Ring |
| Sub Title (in English) | |
| Keyword(1) | synchronization phenomenon |
| Keyword(2) | phase-inversion wave |
| Keyword(3) | actual circuit experiment |
| Keyword(4) | ringed oscillators |
| 1st Author's Name | Ryouhei Takano |
| 1st Author's Affiliation | Hiroshima Institute of Technology(Hiroshima I.T.) |
| 2nd Author's Name | Shouhei Fujimoto |
| 2nd Author's Affiliation | Hiroshima Institute of Technology(Hiroshima I.T.) |
| 3rd Author's Name | Masayuki Yamauchi |
| 3rd Author's Affiliation | Hiroshima Institute of Technology(Hiroshima I.T.) |
| 4th Author's Name | Shunji Maeda |
| 4th Author's Affiliation | Hiroshima Institute of Technology(Hiroshima I.T.) |
| 5th Author's Name | Takeshi Tanaka |
| 5th Author's Affiliation | Hiroshima Institute of Technology(Hiroshima I.T.) |
| Date | 2015-07-21 |
| Paper # | NLP2015-73 |
| Volume (vol) | vol.115 |
| Number (no) | NLP-150 |
| Page | pp.pp.31-36(NLP), |
| #Pages | 6 |
| Date of Issue | 2015-07-14 (NLP) |