Before revision:  Our networks contain leaky integrate-and-fire neurons (positive dissipation) as well as neurons with inverted sign of the leak current (negative dissipation) . We first show that such networkscan exhibit a balanced state of irregular , asynchronous spiking activity, if the neurons with negative dissipation are endowed with a voltage-dependent input cutoff, which may be interpreted as a simple conductance-based implementation of their synapses.
After revision:  Our networks contain leaky integrate-and-fire neurons that generalize irregularly spiking non-chaotic LIF neuron networks. Endowed with simple conductance-based synapses for XIF neurons, our networks can generate a balanced state of irregular , asynchronous spiking activity, if the neurons with negative dissipation are endowed with a voltage-dependent input cutoff, which may be interpreted as a simple conductance-based implementation of their synapses.