A Novel Threshold Across which the Negative Stimulation Evokes Action Potential Near a Saddle-Node Bifurcation in a Neuronal Model with Ih Current

DOI10.1142/S0218127419501980zbMath1440.34046OpenAlexW2997635651WikidataQ126471710 ScholiaQ126471710MaRDI QIDQ5211099

Bing Jia, Linan Guan, Hua-Guang Gu

Publication date: 20 January 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127419501980

zbMATH Keywords

bifurcationthresholdneuronal firinghyperpolarization-activated cation currentpost-inhibitory rebound spikesaddle-node bifurcation on invariant circle

Mathematics Subject Classification ID

Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Nonautonomous smooth dynamical systems (37C60)

Related Items (2)

Post inhibitory rebound spike related to nearly vertical nullcline for small homoclinic and saddle-node bifurcations ⋮ Big homoclinic orbit bifurcation underlying post-inhibitory rebound spike and a novel threshold curve of a neuron

Uses Software

• XPPAUT

Cites Work

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