Singular Hopf bifurcations and mixed-mode oscillations in a two-cell inhibitory neural network (Q964884)

This paper considers a two-cell inhibitory neural network with adaptation modeled by a four-dimensional system of ordinary differential equations. It was found that the system will admit the mixed-mode oscillations (MMOs), and the authors proved that the MMOs are due to a singular Hopf bifurcation point situated in close distance to the transition point to the winner-take-all case.