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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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
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
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)