Slow-fast dynamics in a neurotransmitter release model: delayed response to a time-dependent input signal
arXiv:2302.12852 · doi:10.1016/j.physd.2023.133887
Abstract
We propose a generalization of the neurotransmitter release model proposed in \emph{Rodrigues et al. (PNAS, 2016)}. We increase the complexity of the underlying slow-fast system by considering a degree-four polynomial as parametrization of the critical manifold. We focus on the possible transient and asymptotic dynamics, exploiting the so-called entry-exit function to describe slow parts of the dynamics. We provide extensive numerical simulations, complemented by numerical bifurcation analysis.
arXiv comment19 pages, 31 figures
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