Big homoclinic orbit bifurcation underlying post-inhibitory rebound spike and a novel threshold curve of a neuron

DOI10.3934/era.2021023zbMath1484.37054OpenAlexW3136943773MaRDI QIDQ2055143

Bo Lu, Xianjun Wang, Hua-Guang Gu

Publication date: 3 December 2021

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2021023

zbMATH Keywords

bifurcationthresholdbig homoclinic orbitpost-inhibitory rebound spike

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (3)

Post inhibitory rebound spike related to nearly vertical nullcline for small homoclinic and saddle-node bifurcations ⋮ Diffusion-driven instability of both the equilibrium solution and the periodic solutions for the diffusive sporns-seelig model ⋮ In-phase and anti-phase spikes synchronization within mixed bursters of the pre-Bözinger complex

Uses Software

• XPPAUT

Cites Work

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• NEURAL EXCITABILITY, SPIKING AND BURSTING

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