English

Entr\'ee-sortie dans le halo d'une courbe lente semi-stable

Dynamical Systems 2022-03-10 v1

Abstract

We consider a slow-fast differential system (SF) in dimension two which appears in the study of some linear model (LM) with periodic coefficients in population dynamics. We show existence of "canard solutions" of (SF) along semi-stable slow curve which explains some stability properties of (LM) when the period tends to infinity.

Keywords

Cite

@article{arxiv.2203.04712,
  title  = {Entr\'ee-sortie dans le halo d'une courbe lente semi-stable},
  author = {Claude Lobry},
  journal= {arXiv preprint arXiv:2203.04712},
  year   = {2022}
}

Comments

41 pages, in French, 16 figures