A clustered spiking network reduces, in the large-population, fast-inhibition limit, to a combinatorial threshold-linear network, so CTLN graph rules can predict its dynamical attractors from between-cluster connectivity.
We first ask how fast inhibition needs to be for a stable fixed point of the CTLN to remain stable in the EI-TLN
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Diverse mean-field dynamics of clustered, inhibition-stabilized Hawkes networks via combinatorial threshold-linear networks
A clustered spiking network reduces, in the large-population, fast-inhibition limit, to a combinatorial threshold-linear network, so CTLN graph rules can predict its dynamical attractors from between-cluster connectivity.