Before revision:  For the case of two-dimensional rate units with strong adaptation, we find that the network exhibits a state of "resonant chaos", whose resonance frequency can be predicted from the properties of isolated units . The correlation time of the chaotic network scales with the adaptation timescale of a single unit. Our theory for network analysis can be applied to numerous other mechanisms at the level of single nodes, such as synaptic filtering, refractoriness or spike synchronization.
After revision:  For the case of two-dimensional rate units with strong adaptation, we find that the network exhibits a state of "resonant chaos", whose resonance frequency can be predicted from the properties of isolated units , even in the presence of heterogeneity in the adaptation parameters. In the presence of these internally-generated chaotic fluctuations, the transmission of weak, low-frequency signals is strongly enhanced by adaptation, whereas signal transmission is not influenced by adaptation in the non-chaotic regime. Our theoretical framework can be applied to numerous other mechanisms at the level of single nodes, such as synaptic filtering, refractoriness or spike synchronization.