Planar Canards with Transcritical Intersections

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• 作者：P. De Maesschalck
• 关键词：Slow ; fast systems ; Slow divergence integral ; Canards ; Singular perturbations ; Transcritical intersection
• 刊名：Acta Applicandae Mathematicae
• 出版年：2015
• 出版时间：June 2015
• 年：2015
• 卷：137
• 期：1
• 页码：159-184
• 全文大小：1,374 KB
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• 作者单位：P. De Maesschalck (1)
  
  1. Hasselt University, Martelarenlaan 42, 3500, Hasselt, Belgium
  
• 刊物主题：Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Statistical Physics, Dynamical Systems and Complexity; Mechanics;
• 出版者：Springer Netherlands
• ISSN：1572-9036

文摘

We review essential techniques in the study of families of periodic orbits of slow-fast systems in the plane. The techniques are demonstrated by treating orbits passing through unfoldings of transcritical intersections of curves of singular points in the most generic setting. We show that such transcritical intersections can generate canard type orbits. The stability of limit cycles of canard type containing that pass near transcritical intersections is examined by means of the slow divergence integral.