Flow Curvature Method applied to Canard Explosion

Abstract

The aim of this work is to establish that the bifurcation parameter value leading to a canard explosion in dimension two obtained by the so-called Geometric Singular Perturbation Method can be found according to the Flow Curvature Method. This result will be then exemplified with the classical Van der Pol oscillator.

References in corpus (2)

• Slow invariant manifolds as curvature of the flow of dynamical systems
• Slow Manifold of a Neuronal Bursting Model

Cited by in corpus (1)

• Canards from Chua's circuit