Minicourse on multiple timescale dynamics, UMich Summer 2021.
Sources: figures and examples have been cribbed shamelessly from various books and papers, including, but probably not limited to:
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Multiple Time Scale Dynamics by Christian Kuehn
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields by Guckenheimer/Holmes
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Centre Manifolds, Normal Forms, and Elementary Bifurcations by Andre Vanderbauwhede -- go here if you want to see gory details of the proof of the center manifold theorem
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Geometric singular perturbation analysis of an autocatalator model, Gucwa and Szmolyan 2008
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Canards in R^3, Szmolyan and Wechselberger 2001
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Existence and Bifurcation of Canards in R^3 in the Case of a Folded Node, Wechselberger 2005
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Why pacing frequency affects the production of early afterdepolarizations in cardiomyocytes: An explanation revealed by slow-fast analysis of a minimal model, Vo, Bertram 2019
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Big Ducks in the Heart: Canard Analysis Can Explain Large Early Afterdepolarizations in Cardiomyocytes, Kimrey, Vo, Bertram 2020A
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Canard analysis reveals why a large Ca2+ window current promotes early afterdepolarizations in cardiac myocytes, Kimrey, Vo, Bertram 2020B