Before revision:  This dramatically transforms the Cusp scenario into a bifurcation scenario characterized by three codimension-2 points (Cusp, Takens-Bogdanov, and Saddle-Node Separatrix Loop), which  is generic for the dynamics of heterogeneous QIF networks with both chemical and electrical  coupling.
After revision:  This dramatically transforms the Cusp scenario into a bifurcation scenario characterized by three codimension-2 points (Cusp, Takens-Bogdanov, and Saddle-Node Separatrix Loop), which greatly reduces the possibility for persistent states. This is generic for the dynamics of heterogeneous QIF networks with both chemical and electrical coupling.