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http://hdl.handle.net/1942/18950
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | DE MAESSCHALCK, Peter | - |
dc.date.accessioned | 2015-06-12T09:59:56Z | - |
dc.date.available | 2015-06-12T09:59:56Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | ACTA APPLICANDAE MATHEMATICAE, 137 (1), p. 159-184 | - |
dc.identifier.issn | 0167-8019 | - |
dc.identifier.uri | http://hdl.handle.net/1942/18950 | - |
dc.description.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. | - |
dc.description.sponsorship | The author thanks the anonymous reviewers for their many useful remarks and suggestions. The author acknowledges support from FWO Vlaanderen. | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER | - |
dc.rights | © Springer Science+Business Media Dordrecht 2014 | - |
dc.subject.other | slow-fast systems; slow divergence integral; canards; singular perturbations; transcritical intersection | - |
dc.subject.other | Slow-fast systems; Slow divergence integral; Canards; Singular perturbations; Transcritical intersection | - |
dc.title | Planar Canards with Transcritical Intersections | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 184 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 159 | - |
dc.identifier.volume | 137 | - |
local.format.pages | 26 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Hasselt Univ, B-3500 Hasselt, Belgium. | - |
local.publisher.place | DORDRECHT | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1007/s10440-014-9994-9 | - |
dc.identifier.isi | 000354120100009 | - |
item.fulltext | With Fulltext | - |
item.accessRights | Restricted Access | - |
item.validation | ecoom 2016 | - |
item.contributor | DE MAESSCHALCK, Peter | - |
item.fullcitation | DE MAESSCHALCK, Peter (2015) Planar Canards with Transcritical Intersections. In: ACTA APPLICANDAE MATHEMATICAE, 137 (1), p. 159-184. | - |
crisitem.journal.issn | 0167-8019 | - |
crisitem.journal.eissn | 1572-9036 | - |
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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