コロキウム

The Kuramoto model is a paradigmatic coupled phase oscillator system which describes synchronization transition by varying the coupling strength. Each oscillator has the natural frequency, which obeys a probability distribution function. The type of bifurcation, continuous or discontinous for instance, depends on the natural frequency distribution. Many studies on the Kuramoto model have focused on symmetric distributions, however, asymmetry in the distribution brings some new types of bifurcation diagrams [1]. In this talk, we first present bifurcation diagrams discovered by introducing the asymmetry, and discuss a criterion to predict the type of bifurcation for a given natural frequency distribution.

[1] Y. Terada, K. Ito, T. Aoyagi, and Y. Y. Yamaguchi, Nonstandard transitions in the Kuramoto model: a role of asymmetry in natural frequency distributions, J. Stat. Mech. (2017) 013403.