Figure 1

The firing rates of the respective neural populations in the ring network, and the corresponding phase space speed q of the trajectory as a function of time (top and bottom plots of the left panel). The bifurcation diagram of the system as a function the external input I (right panel). The parameter intervals of four possible limit cycles classes denoted by Roman numerals I-IV are indicated by different green/blue shades. H points denote Hopf-bifurcation, HO is homoclinic bifurcation of saddles, SNC denotes saddle node bifurcation of cycles. The maximal/minimal amplitude in a limit cycle is denoted with red/green color. Stable (unstable) fixpoints and limit cycles are continuous (dashed) curves.