Presentation 2011-07-01
Relation between instantaneous electric power and propagated phase difference on coupled van der Pol oscillators as a ladder
Kosuke NIIMI, Seiko KUNIHIRO, Hitoshi ABURATANI, Masayuki YAMAUCHI,
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Abstract(in English) A lot of synchronization phenomena can be observed in this world. They can be observed on electric circuits as well, and are used for industrial products. We discovered and analyzed a wave-motion of phase difference between adjacent oscillators on coupled oscillators system as a ladder, ring or a lattice. The wave-motion is a phenomenon of changing phase states between two adjacent oscillators from in-phase synchronization to anti-phase synchronization or from anti-phase synchronization to in-phase synchronization in steady state. We call the wave-motion "phase-inversion waves". In transient states, we can be observed a wave in which the phase differences between adjacent oscillators are propagated. The waves become the phase-inversion waves or disappear. We call the wave-motion "phase-waves". In this study, 12 van der Pol oscillators are coupled by inductors as a ladder, and we investigate an instantaneous electric power of each oscillator and each coupling inductor. Then, we clarify the relationship between the propagating phase difference and the instantaneous electric power.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) coupled oscillators / synchronization phenomenon / phase-inversion waves / phase-waves
Paper # NLP2011-41
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Committee NLP
Conference Date 2011/6/23(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Relation between instantaneous electric power and propagated phase difference on coupled van der Pol oscillators as a ladder
Sub Title (in English)
Keyword(1) coupled oscillators
Keyword(2) synchronization phenomenon
Keyword(3) phase-inversion waves
Keyword(4) phase-waves
1st Author's Name Kosuke NIIMI
1st Author's Affiliation Department of Electronics and Computer Engineering, Hiroshima Institute of Technology()
2nd Author's Name Seiko KUNIHIRO
2nd Author's Affiliation Department of Electronics and Computer Engineering, Hiroshima Institute of Technology
3rd Author's Name Hitoshi ABURATANI
3rd Author's Affiliation Department of Electronics and Computer Engineering, Hiroshima Institute of Technology
4th Author's Name Masayuki YAMAUCHI
4th Author's Affiliation Department of Electronics and Computer Engineering, Hiroshima Institute of Technology
Date 2011-07-01
Paper # NLP2011-41
Volume (vol) vol.111
Number (no) 106
Page pp.pp.-
#Pages 6
Date of Issue