Bifurcation Analysis of a General Class of Nonlinear Integrate-and-Fire Neurons

DOI10.1137/070687268zbMath1149.34027OpenAlexW1983069678MaRDI QIDQ3520285

Jonathan Touboul

Publication date: 18 August 2008

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

Full work available at URL: https://hal.inria.fr/inria-00142987v5/file/RR-6161.pdf

zbMATH Keywords

saddle-node bifurcationnonlinear dynamicsHopf bifurcationBogdanov-Takens bifurcationBautin bifurcationneuron modelsdynamical system analysissaddle homoclinic bifurcationsubthreshold neuron oscillations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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