We study an asymmetric diluted version of the dynamic model for neural networks proposed recently, which explicitly takes into account the existence of several time scales without discretizing the time. The dynamics is neither totally synchronous nor totally asynchronous, and the couplings in the neural networks are asymmetric. These considerations may be regarded as more biologically realistic. We obtain the phase diagram as a function of the temperature ${\mathrm{\epsilon }}^{\mathrm{-}1}$, the capacity α, and the ratio a of the refractory period to the action potential duration.

• Received 17 January 1990

DOI:https://doi.org/10.1103/PhysRevA.41.7062