title: Strong-coupling limit in heterogeneous populations of coupled oscillators.
abstract: Coupled oscillators can be heterogeneous in the sense that parameter values of constituent oscillators are not uniform for various reasons. Here it is discussed how such a system behaves in the strong-coupling limit. A theory is developed under certain assumptions and then used to quite generally explain an empirical law about a phase transition boundary in a class of heterogeneous populations of coupled oscillators such that bifurcation parameters are distributed. Results obtained here will be useful as a starting point for studying the behavior of such systems for moderate coupling strengths.
authors.affiliation: Department of Mathematical Sciences, Graduate School of Engineering, Osaka Prefecture University, Sakai, Japan.
authors.forename: Hiroaki
authors.initials: H
authors.lastname: Daido