  We study the nonlinear dynamics of globally coupled nonidentical oscillators
in the framework of two order parameter (mean field and amplitude-frequency
correlator) reduction. The main result of the paper is the exact solution of
the corresponding nonlinear system on an attracting manifold. We present a
complete classification of phase portraits and bifurcations, obtain explicit
expressions for invariant manifolds (a limit cycle among them) and derive
analytical solutions for arbitrary initial data and different regimes.
