Presentation 2015-07-21
Analysis of Phase-Inversion Waves on 4 Ladders Including 4 or 8 Van Der Pol Oscillators Coupled by Inductors as A Cross
Mikiya Tanaka, Shouhei Fujimoto, Yoshihito Todani, Masayuki Yamauchi, Yoshifumi Nishio, Shunji Maeda, Takeshi Tanaka,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Synchronization phenomena are investigated in various fields. We analyzed wave phenomena on a ladder which van der Pol oscillators are coupled by inductors as. In these waves, we can observe continuous propagating waves in steady states. The wave changes phase states between adjacent oscillators from an in-phase synchronization to an anti-phase synchronization or from the anti-phase synchronization to the in-phase synchronization and propagates continuously. We call this wave ``phase-inversion wave.'' Some phase-inversion waves can exist on a ladder if the ladder is constructed by many oscillators. In this study, we construct a cruciform system that four ladders including four or eight van der Pol oscillators are coupled by using four inductors and a van der Pol oscillator. When the eight van der Pol oscillators are coupled for each ladder, domains of which the phase-inversion waves can be observed are investigated and an itinerancy of instantaneous electric power of a center oscillator of the cross are analyzed. When the four van der Pol oscillator are coupled for each ladder, actual circuit experimental results are compared to numerical experimental results and we make clear that the phase-inversion waves can be observed on the cross.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) synchronizaton phenomenon / van der Pol oscillator / phase-inversion wave / cruciform system
Paper # NLP2015-74
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 Phase-Inversion Waves on 4 Ladders Including 4 or 8 Van Der Pol Oscillators Coupled by Inductors as A Cross
Sub Title (in English)
Keyword(1) synchronizaton phenomenon
Keyword(2) van der Pol oscillator
Keyword(3) phase-inversion wave
Keyword(4) cruciform system
1st Author's Name Mikiya Tanaka
1st Author's Affiliation Hiroshima Institute of Technology(HIT)
2nd Author's Name Shouhei Fujimoto
2nd Author's Affiliation Hiroshima Institute of Technology(HIT)
3rd Author's Name Yoshihito Todani
3rd Author's Affiliation Hiroshima Institute of Technology(HIT)
4th Author's Name Masayuki Yamauchi
4th Author's Affiliation Hiroshima Institute of Technology(HIT)
5th Author's Name Yoshifumi Nishio
5th Author's Affiliation Tokushima University(Tokushima)
6th Author's Name Shunji Maeda
6th Author's Affiliation Hiroshima Institute of Technology(HIT)
7th Author's Name Takeshi Tanaka
7th Author's Affiliation Hiroshima Institute of Technology(HIT)
Date 2015-07-21
Paper # NLP2015-74
Volume (vol) vol.115
Number (no) NLP-150
Page pp.pp.37-42(NLP),
#Pages 6
Date of Issue 2015-07-14 (NLP)