Bifurcations of canard-induced mixed mode oscillations in a pituitary lactotroph model

DOI10.3934/dcds.2012.32.2879zbMath1246.34054OpenAlexW2330064022MaRDI QIDQ432632

Richard Bertram, Theodore Vo, Martin Wechselberger

Publication date: 4 July 2012

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

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.2879

zbMATH Keywords

bifurcationsgeometric singular perturbation theorycanardsMMOsreturn maps

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Biological rhythms and synchronization (92B25) Canard solutions to ordinary differential equations (34E17)

Related Items (8)

Multi-mode attractors and spatio-temporal canards ⋮ Bifurcation analysis of a certain Hodgkin-Huxley model depending on multiple bifurcation parameters ⋮ Canards of Folded Saddle-Node Type I ⋮ The dud canard: existence of strong canard cycles in \(\mathbb{R}^3\) ⋮ Resolution of the piecewise smooth visible-invisible two-fold singularity in \(\mathbb {R}^3\) using regularization and blowup ⋮ Saddle slow manifolds and canard orbits in \(\mathbb{R}^{4}\) and application to the full Hodgkin-Huxley model ⋮ Delayed loss of stability due to the slow passage through Hopf bifurcations in reaction–diffusion equations ⋮ Big Ducks in the Heart: Canard Analysis Can Explain Large Early Afterdepolarizations in Cardiomyocytes

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