Slow-fast dynamics in a neurotransmitter release model: delayed response to a time-dependent input signal

DOI10.1016/j.physd.2023.133887zbMath1527.34084arXiv2302.12852OpenAlexW4385753505MaRDI QIDQ6090635

Serafim Rodrigues, Mattia Sensi, Mathieu Desroches

Publication date: 17 November 2023

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.12852

zbMATH Keywords

bifurcation analysisslow-fast systementry-exit functioncanardsvesicle cycle

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Canard solutions to ordinary differential equations (34E17)

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