Order parameters and macroscopic behaviour in a population
of nonlinear oscillators

Silvia de Monte

Department of Mathematics, University of Vienna, Austria

Francesco d'Ovidio

Department of Physics, Technical University of Denmark,
DK-2800 Kongens Lyngby, Denmark

Abstract: The macroscopic dynamics of a population of globally and strongly coupled oscillators with natural frequency mismatch essentially reduces to that of few degrees of freedom. Such order paramaters are systematically derived by means of a series expansion around the mean field. This allows to describe the asymptotic as well as the transient behaviour of the population, and in particular the bifurcations among differrent collective regimes.