caa a22 4500 606166394 CHVBK 20210128100658.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10440-014-9994-9 doi (NATIONALLICENCE)springer-10.1007/s10440-014-9994-9 De Maesschalck P. Hasselt University, Martelarenlaan 42, 3500, Hasselt, Belgium aut Planar Canards with Transcritical Intersections [Elektronische Daten] [P. De Maesschalck] 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. Springer Science+Business Media Dordrecht, 2014 Slow-fast systems nationallicence Slow divergence integral nationallicence Canards nationallicence Singular perturbations nationallicence Transcritical intersection nationallicence Acta Applicandae Mathematicae Springer Netherlands 137/1(2015-06-01), 159-184 0167-8019 137:1<159 2015 137 10440 https://doi.org/10.1007/s10440-014-9994-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-014-9994-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- De Maesschalck P. Hasselt University, Martelarenlaan 42, 3500, Hasselt, Belgium aut NATIONALLICENCE 773 0- Acta Applicandae Mathematicae Springer Netherlands 137/1(2015-06-01), 159-184 0167-8019 137:1<159 2015 137 10440