Bifurcation diagrams and phase diagrams of two coupled periodically driven identical Duffing oscillators are presented. It is shown that the global pattern of bifurcation curves in parameter space consists of repeated subpatterns similar to the superstructure observed for single, periodically driven, strictly dissipative oscillators The subpattern itself, however, is different from that of a single Duffing oscillator due, in particular, to Hopf bifurcations that are newly added to the bifurcation scenario.

• Received 11 July 1994

DOI:https://doi.org/10.1103/PhysRevE.51.1861