A Hopf bifurcation in the Kuramoto-Daido model
نویسندگان
چکیده
A Hopf bifurcation in the Kuramoto-Daido model is investigated based on generalized spectral theory and center manifold reduction for a certain class of frequency densities. The dynamical system order parameter four-dimensional derived. It shown that undergoes as coupling strength increases, which proves existence periodic two-cluster state oscillators.
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2021
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2021.01.024