Generalizing a two-population decision model to any Hill coefficient and adding self-inhibition delay can flip the predicted dynamics from stable decisions to oscillations or divergence.
The first one is a quasi-steady state approximation, which reduces the original four equations to two equations for firing ratesr 1,2
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Impact of Hill coefficient and time delay on a perceptual decision-making model
Generalizing a two-population decision model to any Hill coefficient and adding self-inhibition delay can flip the predicted dynamics from stable decisions to oscillations or divergence.