  We report on a novel dynamic phase in electrical networks, in which current
channels perpetually change in time. This occurs when the individual elements
of the network are fuse-antifuse devices, namely, become insulators within a
certain finite interval of local applied voltages. As a consequence, the
macroscopic current exhibits temporal fluctuations which increase with system
size. We determine the conditions under which this exotic situation appears by
establishing a phase diagram as a function of the applied field and the size of
the insulating window. Besides its obvious application as a versatile
electronic device, due to its rich variety of behaviors, this network model
provides a possible description for particle-laden flow through porous media
leading to dynamical clogging and reopening of the local channels in the pore
space.
