Part of Neural Information Processing Systems 0 (NIPS 1987)
Various simulat.ions of cort.ical subnetworks have evidenced something like phase transitions with respect to key parameters. We demonstrate that. such transi t.ions must. indeed exist. in analogous infinite array models. For related finite array models classical phase transi t.ions (which describe steady-state behavior) may not. exist., but. there can be distinct. quali tative changes in ("metastable") transient behavior as key system parameters pass through crit.ical values .