Hysteresis bifurcation and application to delayed Fitzhugh-Nagumo neural systems

DOI10.1016/j.jmaa.2021.125151zbMath1467.34085arXiv2009.14046OpenAlexW3138277468MaRDI QIDQ2661288

Yanyan Li

Publication date: 3 April 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.14046

zbMATH Keywords

hysteresistime delaybifurcationburstingFitzhugh-Nagumo neuron

Mathematics Subject Classification ID

Neural biology (92C20) Periodic solutions to functional-differential equations (34K13) Theoretical approximation of solutions to functional-differential equations (34K07) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Hysteresis for ordinary differential equations (34C55)

Related Items (2)

Hysteresis and Stability ⋮ Dynamics of stochastic FitzHugh–Nagumo system on unbounded domains with memory

Uses Software

• DDE-BIFTOOL

Cites Work

• Hysteresis phenomena in biology
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• NEURAL EXCITABILITY, SPIKING AND BURSTING
• Unnamed Item

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