Type III Responses to Transient Inputs in Hybrid Nonlinear Neuron Models

DOI10.1137/20M1354970zbMath1476.37107arXiv2007.11968OpenAlexW3163705265MaRDI QIDQ5004529

Justyna Signerska-Rynkowska, Jonathan D. Touboul, Jonathan E. Rubin

Publication date: 2 August 2021

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11968

zbMATH Keywords

hybrid dynamical systemstransient responsesslope detectionpost-inhibitory facilitationtype III excitability

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Orbit growth in dynamical systems (37C35) Qualitative investigation and simulation of ordinary differential equation models (34C60) Topological dynamics of nonautonomous systems (37B55) Hybrid systems of ordinary differential equations (34A38)

Related Items (2)

Activity Patterns of a Two-Timescale Neuronal Ring Model with Voltage-Dependent, Piecewise Smooth Inhibitory Coupling ⋮ Rate-induced tipping: thresholds, edge states and connecting orbits

Cites Work

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