Display Abstract
Title Canards in the coupled FitzHugh-Nagumo equations
Name Kiyoyuki Tchizawa
Country Japan
Email Tchizawa@aol.com
Co-Author(s)
Submit Time 2014-02-27 21:23:00
Session
Special Session 114: Nonstandard Analysis, Quantizations and Singular Perturbations
Contents
In this talk, it is shown that there exist 4-dimensional canards in the coupled FitzHugh-Nagumo equations. There exists a 4-dimensional singular perturbation problem in this system. It was composed in 2001 by S.A.Campbell and K.T.. This system is described as a co-dimension 2 problem, that is, having two fast vector fields and two slow vector fields. The relation between the canards and the invariant manifold is provided.
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