Wild oscillations in a nonlinear neuron model with resets. II: Mixed-mode oscillations

DOI10.3934/dcdsb.2017205zbMath1375.34075arXiv1509.08282OpenAlexW2963850902WikidataQ60154127 ScholiaQ60154127MaRDI QIDQ2405532

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

Publication date: 26 September 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.08282

zbMATH Keywords

burstingmixed-mode oscillationshybrid dynamical systemsrotation theorynonlinear integrate-and-fire neuron model

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural biology (92C20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Rotation numbers and vectors (37E45) Relaxation oscillations for ordinary differential equations (34C26)

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