论文标题
Entrée-Sortie Dans le Halo d'une Courbe Lente半稳定
Entrée-sortie dans le halo d'une courbe lente semi-stable
论文作者
论文摘要
我们考虑了二维的慢速差分系统(SF),该系统在一些线性模型(LM)的研究中出现,并在人群动力学中具有周期性系数。我们显示了(SF)沿半稳定的慢曲线的“ canard溶液”的存在,这解释了(LM)的某些稳定性,当时周期趋于无穷大。
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.