Towards a quasi-periodic mean field theory for globally coupled oscillators

We show how a quasi-periodic mean field theory may be used to understand th e chaotic dynamics and geometry of globally coupled complex Ginzburg-Landau equations. The Poincare map of the mean field equations appears to have sa ddlenode-homoclinic bifurcations leading to chaotic motion, and the attract or has the characteristic rho shape identified by numerical experiments on the full equations. (C) 1999 Published by Elsevier Science B.V.