The content delves into mathematical models for neuronal populations, focusing on nonlinear noisy leaky integrate and fire (NNLIF) models. It introduces pseudo-equilibria as key states determined by system parameters, aiding in understanding system behavior. The study shows how a sequence of pseudo-equilibria leads to convergence to equilibrium, offering insights into periodic solutions in inhibitory networks. The analysis involves firing rates, equilibria stability, and numerical studies supporting theoretical findings.
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The content provides detailed insights into the long-term behavior of NNLIF systems with significant synaptic delays, shedding light on their dynamics and stability properties.
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by Marí... às arxiv.org 03-05-2024
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