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

Banaji, Murad and Glendinning, Paul (1999) Towards a quasi-periodic mean field theory for globally coupled oscillators. Physics Letters A, 251 (5). pp. 297-302. ISSN 0375-9601

Abstract

We show how a quasi-periodic mean field theory may be used to understand the chaotic dynamics and geometry of globally coupled complex Ginzburg-Landau equations. The Poincaré map of the mean field equations appears to have saddlenode-homoclinic bifurcations leading to chaotic motion, and the attractor has the characteristic ρ shape identified by numerical experiments on the full equations.