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http://hdl.handle.net/1942/33818
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DC Field | Value | Language |
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dc.contributor.author | HUZAK, Renato | - |
dc.contributor.author | Rojas, David | - |
dc.date.accessioned | 2021-04-02T12:13:01Z | - |
dc.date.available | 2021-04-02T12:13:01Z | - |
dc.date.issued | 2021 | - |
dc.date.submitted | 2021-03-22T19:17:01Z | - |
dc.identifier.citation | Electronic Journal of Qualitative Theory of Differential Equations, (16) , p. 1 -21 | - |
dc.identifier.issn | 1417-3875 | - |
dc.identifier.uri | http://hdl.handle.net/1942/33818 | - |
dc.description.abstract | This paper is devoted to the study of the period function of planar generic and non-generic turning points. In the generic case (resp. non-generic) a non-degenerate (resp. degenerate) center disappears in the limit ϵ→0, where ϵ≥0 is the singular perturbation parameter. We show that, for each ϵ>0 and ϵ∼0, the period function is monotonously increasing (resp. has exactly one minimum). The result is valid in an ϵ-uniform neighborhood of the turning points. We also solve a part of the conjecture about a uniform upper bound for the number of critical periods inside classical Liénard systems of fixed degree, formulated by De Maesschalck and Dumortier in 2007. We use singular perturbation theory and the family blow-up. | - |
dc.language.iso | en | - |
dc.publisher | - | |
dc.subject.other | critical periods | - |
dc.subject.other | family blow-up | - |
dc.subject.other | period function | - |
dc.subject.other | slow-fast systems | - |
dc.title | Period function of planar turning points | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 21 | - |
dc.identifier.issue | 16 | - |
dc.identifier.spage | 1 | - |
local.format.pages | 21 | - |
local.bibliographicCitation.jcat | A1 | - |
local.publisher.place | ARADI VERTANUK TERE 1, 6720 SZEGED, HUNGARY | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.14232/ejqtde.2021.1.16 | - |
dc.identifier.isi | WOS:000636063100001 | - |
dc.identifier.eissn | 1417-3875 | - |
local.provider.type | CrossRef | - |
local.uhasselt.uhpub | yes | - |
local.uhasselt.international | yes | - |
item.fullcitation | HUZAK, Renato & Rojas, David (2021) Period function of planar turning points. In: Electronic Journal of Qualitative Theory of Differential Equations, (16) , p. 1 -21. | - |
item.validation | ecoom 2022 | - |
item.accessRights | Open Access | - |
item.fulltext | With Fulltext | - |
item.contributor | HUZAK, Renato | - |
item.contributor | Rojas, David | - |
crisitem.journal.issn | 1417-3875 | - |
crisitem.journal.eissn | 1417-3875 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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p8850.pdf | Published version | 946.38 kB | Adobe PDF | View/Open |
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