Planar Canards with Transcritical Intersections

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.

Jaar van publicatie:2015

Trefwoorden:Slow-fast systems, Slow divergence integral, Canards, Singular perturbations, Transcritical intersection, slow-fast systems, slow divergence integral, canards, singular perturbations, transcritical intersection

BOF-keylabel:ja

IOF-keylabel:ja

BOF-publication weight:1

CSS-citation score:1

Authors from:Higher Education

Toegankelijkheid:Closed