We report on a novel dynamic phase in electrical networks, in which currentchannels perpetually change in time. This occurs when the individual elementsof the network are fuse-antifuse devices, namely, become insulators within acertain finite interval of local applied voltages. As a consequence, themacroscopic current exhibits temporal fluctuations which increase with systemsize. We determine the conditions under which this exotic situation appears byestablishing a phase diagram as a function of the applied field and the size ofthe insulating window. Besides its obvious application as a versatileelectronic device, due to its rich variety of behaviors, this network modelprovides a possible description for particle-laden flow through porous medialeading to dynamical clogging and reopening of the local channels in the porespace.
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