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Published on: June 8, 2018
Strong-coupling limit in heterogeneous populations of coupled oscillators
1Department of Mathematical Sciences, Graduate School of Engineering, Osaka Prefecture University, Sakai, Japan.
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.
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