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• W2951562234 abstract "A bifurcation from the incoherent state to the partially synchronized state of the Kuramoto-Daido model with the coupling function $f(theta ) = sin (theta +alpha _1) + hsin 2(theta +alpha _2)$ is investigated based on the generalized spectral theory and the center manifold reduction. The dynamical system of 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 $K=K_c$, and a stable rotating partially synchronized state appears for $K>K_c$. The velocity of the rotating state is different from the average of natural frequencies of oscillators when $alpha _1 neq 0$." @default.
• W2951562234 created "2019-06-27" @default.
• W2951562234 creator A5001894350 @default.
• W2951562234 date "2016-09-13" @default.
• W2951562234 modified "2023-09-23" @default.
• W2951562234 title "A center manifold reduction of the Kuramoto-Daido model with a phase-lag" @default.
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• W2951562234 doi "https://doi.org/10.48550/arxiv.1609.04126" @default.
• W2951562234 hasPublicationYear "2016" @default.
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