Saddle slow manifolds and canard orbits in \(\mathbb{R}^{4}\) and application to the full Hodgkin-Huxley model
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Publication:723696
DOI10.1186/s13408-018-0060-1zbMath1395.92038OpenAlexW2806055838WikidataQ52314642 ScholiaQ52314642MaRDI QIDQ723696
Hinke M. Osinga, Bernd Krauskopf, Cris R. Hasan
Publication date: 24 July 2018
Published in: The Journal of Mathematical Neuroscience (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13408-018-0060-1
Neural biology (92C20) Dynamical systems in biology (37N25) Singular perturbations for ordinary differential equations (34E15) Canard solutions to ordinary differential equations (34E17)
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Canard solutions in neural mass models: consequences on critical regimes ⋮ Fast-slow analysis as a technique for understanding the neuronal response to current ramps ⋮ Computational Singular Perturbation Method for Nonstandard Slow-Fast Systems ⋮ Eight Perspectives on the Exponentially Ill-Conditioned Equation $\varepsilon y - x y' + y = 0$ ⋮ A Surface of Heteroclinic Connections Between Two Saddle Slow Manifolds in the Olsen Model ⋮ Big Ducks in the Heart: Canard Analysis Can Explain Large Early Afterdepolarizations in Cardiomyocytes ⋮ Existence of Transonic Solutions in the Stellar Wind Problem with Viscosity and Heat Conduction ⋮ Canards Underlie Both Electrical and Ca$^{2+}$-Induced Early Afterdepolarizations in a Model for Cardiac Myocytes
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