English

Flow Curvature Method applied to Canard Explosion

Dynamical Systems 2014-08-22 v1

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.

Cite

@article{arxiv.1408.4894,
  title  = {Flow Curvature Method applied to Canard Explosion},
  author = {Jean-Marc Ginoux and Jaume Llibre},
  journal= {arXiv preprint arXiv:1408.4894},
  year   = {2014}
}
R2 v1 2026-06-22T05:35:20.748Z