Figure 4

Bifurcation diagram. Bifurcation diagram in the (K _T -x _C )-plane. The coupling strength from the cortex to the thalamus has been set to K _C =1.2 and the coupling strength K _T from the thalamus to the cortex is varied; ${\tilde{\omega }}_C=3$ Hz and ${\tilde{\omega }}_T=7$ Hz. Red line: stable fixed points (x _F ), black line: unstable fixed points; green filled circles represent the maximum and minimum of stable periodic orbits (x _PS ) while the blue circles represent the maximum and minimum of unstable periodic orbits (x _PU ). Bifurcation points, i.e. the fold limit cycle bifurcation (FLB) at $K_T^{\mathit{\text{FLB}}}$ and the Hopf-bifurcation (HB) at $K_T^{\mathit{\text{HB}}}$ are marked with vertical blue lines. The light blue box represents the parameter region where the initially synchronized system desynchronizes in finite time (like in Figure 1).