A center manifold reduction of the Kuramoto-Daido model with a phase-lag

Hayato Chiba

研究成果: Contribution to journalArticle

1 引用 (Scopus)

抜粋

A bifurcation from the incoherent state to the partially synchronized state of the Kuramoto-Daido model with the coupling function f(θ) = sin(θ + α1) + h sin 2(θ + α2) is investigated based on the generalized spectral theory and the center manifold reduction. The dynamical equation for the order parameter on a center manifold is derived under the assumption that there exists a center manifold on the dual space of a certain test function space. It is shown that the incoherent state loses the stability at a critical coupling strength K = Kc, and a stable rotating partially synchronized state appears for K > Kc. The velocity of the rotating state is different from the average of natural frequencies of oscillators when α1 ≠= 0.

元の言語英語
ページ(範囲)1235-1259
ページ数25
ジャーナルSIAM Journal on Applied Dynamical Systems
16
発行部数3
DOI
出版物ステータス出版済み - 1 1 2017

All Science Journal Classification (ASJC) codes

  • Analysis
  • Modelling and Simulation

フィンガープリント A center manifold reduction of the Kuramoto-Daido model with a phase-lag' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

  • これを引用