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Title: | Planar Canards with Transcritical Intersections | Authors: | DE MAESSCHALCK, Peter | Issue Date: | 2015 | Publisher: | SPRINGER | Source: | ACTA APPLICANDAE MATHEMATICAE, 137 (1), p. 159-184 | Abstract: | 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. | Notes: | Hasselt Univ, B-3500 Hasselt, Belgium. | Keywords: | slow-fast systems; slow divergence integral; canards; singular perturbations; transcritical intersection;Slow-fast systems; Slow divergence integral; Canards; Singular perturbations; Transcritical intersection | Document URI: | http://hdl.handle.net/1942/18950 | ISSN: | 0167-8019 | e-ISSN: | 1572-9036 | DOI: | 10.1007/s10440-014-9994-9 | ISI #: | 000354120100009 | Rights: | © Springer Science+Business Media Dordrecht 2014 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2016 |
Appears in Collections: | Research publications |
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art%3A10.1007%2Fs10440-014-9994-9.pdf Restricted Access | 1.37 MB | Adobe PDF | View/Open Request a copy |
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