Saddle Slow Manifolds and Canard Orbits in R4 $\mathbb{R}^{4}$ and Application to the Full Hodgkin–Huxley Model

Saddle Slow Manifolds and Canard Orbits in R4 $\mathbb{R}^{4}$ and Application to the Full Hodgkin–Huxley Model

Abstract Many physiological phenomena have the property that some variables evolve much faster than others. For example, neuron models typically involve observable differences in time scales. The Hodgkin–Huxley model is well known for explaining the ionic mechanism that generates the action potentia...

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Bibliographic Details
Main Authors: Cris R. Hasan, Bernd Krauskopf, Hinke M. Osinga
Format: Article
Language:English
Published: SpringerOpen 2018-04-01
Series:Journal of Mathematical Neuroscience
Subjects:
Slow–fast systems
Saddle slow manifolds
Canard orbits
Hodgkin–Huxley model
Mixed-mode oscillations
Online Access:http://link.springer.com/article/10.1186/s13408-018-0060-1

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http://link.springer.com/article/10.1186/s13408-018-0060-1

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