Sustained oscillations generated by mutually inhibiting neurons with adaptation (Q1063538)

The basic model of a neuron with adaptation is the following: \[ \tau \dot x+x=\sum^{n}_{j=1}C_ js_ j-bz,\quad T\dot z+z=\max (0,x) \] where z represents the degree of adaptation. For three types of networks with inhibition is shown that sustained oscillations (not necessarilly periodic) may be generated for any initial state and any disturbance. The author stresses the significance of adaptation for the occurrence of this phenomenon. Computer simulations are presented.