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http://hdl.handle.net/1942/42753
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DC Field | Value | Language |
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dc.contributor.author | HUZAK, Renato | - |
dc.contributor.author | Kristiansen, Kristian Uldall | - |
dc.contributor.author | Radunovic, Goran | - |
dc.date.accessioned | 2024-04-03T13:11:07Z | - |
dc.date.available | 2024-04-03T13:11:07Z | - |
dc.date.issued | 2024 | - |
dc.date.submitted | 2024-03-26T17:21:18Z | - |
dc.identifier.citation | Electronic Journal of Qualitative Theory of Differential Equations, 15 , p. 1 -20 | - |
dc.identifier.issn | 1417-3875 | - |
dc.identifier.uri | http://hdl.handle.net/1942/42753 | - |
dc.description.abstract | In this paper we define the notion of slow divergence integral along sliding segments in regularized planar piecewise smooth systems. The boundary of such segments may contain diverse tangency points. We show that the slow divergence integral is invariant under smooth equivalences. This is a natural generalization of the notion of slow divergence integral along normally hyperbolic portions of curve of singularities in smooth planar slow–fast systems. We give an interesting application of the integral in a model with visible-invisible two-fold of type VI3. It is related to a connection between so-called Minkowski dimension of bounded and monotone “entry-exit” sequences and the number of sliding limit cycles produced by so-called canard cycles. | - |
dc.description.sponsorship | The research of R. Huzak and G. Radunovi´c was supported by: Croatian Science Foundation (HRZZ) grant PZS-2019-02-3055 from “Research Cooperability” program funded by the European Social Fund. Additionally, the research of G. Radunovi´c was partially supported by the HRZZ grant UIP-2017-05-1020. | - |
dc.language.iso | en | - |
dc.publisher | UNIV SZEGED, BOLYAI INSTITUTE | - |
dc.subject.other | sliding limit cycles | - |
dc.subject.other | piecewise smooth systems | - |
dc.subject.other | regularization function | - |
dc.subject.other | slow divergence integral | - |
dc.subject.other | Minkowski dimension. | - |
dc.title | Slow divergence integral in regularized piecewise smooth systems | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 20 | - |
dc.identifier.issue | 15 | - |
dc.identifier.spage | 1 | - |
dc.identifier.volume | 15 | - |
local.format.pages | 20 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Huzak, R (corresponding author), Hasselt Univ, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. | - |
local.publisher.place | ARADI VERTANUK TERE 1, 6720 SZEGED, HUNGARY | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.14232/ejqtde.2024.1.15 | - |
dc.identifier.isi | 001242966400001 | - |
dc.identifier.url | https://www.math.u-szeged.hu/ejqtde/p10810.pdf | - |
local.provider.type | - | |
local.description.affiliation | [Huzak, Renato] Hasselt Univ, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. | - |
local.description.affiliation | [Kristiansen, Kristian Uldall] Tech Univ Denmark, Dept Appl Math & Comp Sci, DK-2800 Lyngby, Denmark. | - |
local.description.affiliation | [Radunovic, Goran] Univ Zagreb, Fac Sci, Horvatovac 102a, Zagreb 10000, Croatia. | - |
local.uhasselt.international | yes | - |
item.fullcitation | HUZAK, Renato; Kristiansen, Kristian Uldall & Radunovic, Goran (2024) Slow divergence integral in regularized piecewise smooth systems. In: Electronic Journal of Qualitative Theory of Differential Equations, 15 , p. 1 -20. | - |
item.embargoEndDate | 2024-10-01 | - |
item.accessRights | Embargoed Access | - |
item.fulltext | With Fulltext | - |
item.contributor | HUZAK, Renato | - |
item.contributor | Kristiansen, Kristian Uldall | - |
item.contributor | Radunovic, Goran | - |
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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p10810.pdf Restricted Access | Published version | 867.9 kB | Adobe PDF | View/Open Request a copy |
PaperEJQTDE.pdf Until 2024-10-01 | 777.18 kB | Adobe PDF | View/Open Request a copy |
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