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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | HUZAK, Renato | - |
| dc.date.accessioned | 2016-11-14T15:21:41Z | - |
| dc.date.available | 2016-11-14T15:21:41Z | - |
| dc.date.issued | 2017 | - |
| dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS, 262 (2), p. 1119-1154 | - |
| dc.identifier.issn | 0022-0396 | - |
| dc.identifier.uri | http://hdl.handle.net/1942/22607 | - |
| dc.description.abstract | Using geometric singular perturbation theory, including the family blow-up as one of the main techniques, we prove that the cyclicity, i.e. maximum number of limit cycles, in both regular and slow-fast unfoldings of nilpotent saddle-node singularity of codimension 4 is 2. The blow-up technique enables us to use the well known results for slow-fast codimension 1 and 2 Hopf bifurcations, slow-fast Bogdanov–Takens bifurcations and slow-fast codimension 3 saddle and elliptic bifurcations. | - |
| dc.language.iso | en | - |
| dc.rights | © 2016 Elsevier Inc. All rights reserved | - |
| dc.subject.other | blow-up; limit cycles; singular perturbations; slow-fast systems | - |
| dc.title | Regular and slow-fast codimension 4 saddle-node bifurcations | - |
| dc.type | Journal Contribution | - |
| dc.identifier.epage | 1154 | - |
| dc.identifier.issue | 2 | - |
| dc.identifier.spage | 1119 | - |
| dc.identifier.volume | 262 | - |
| local.bibliographicCitation.jcat | A1 | - |
| dc.description.notes | Huzak, R (reprint author), Hasselt Univ, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. renato.huzak@uhasselt.be | - |
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| local.type.refereed | Refereed | - |
| local.type.specified | Article | - |
| dc.identifier.doi | 10.1016/j.jde.2016.10.008 | - |
| dc.identifier.isi | 000389682300012 | - |
| item.contributor | HUZAK, Renato | - |
| item.fullcitation | HUZAK, Renato (2017) Regular and slow-fast codimension 4 saddle-node bifurcations. In: JOURNAL OF DIFFERENTIAL EQUATIONS, 262 (2), p. 1119-1154. | - |
| item.accessRights | Open Access | - |
| item.fulltext | With Fulltext | - |
| item.validation | ecoom 2018 | - |
| crisitem.journal.issn | 0022-0396 | - |
| crisitem.journal.eissn | 1090-2732 | - |
| Appears in Collections: | Research publications | |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| SlowFastCodimensionFour.pdf | Peer-reviewed author version | 1.63 MB | Adobe PDF | View/Open |
| 1-s2.0-S0022039616303333-main.pdf Restricted Access | Published version | 1.39 MB | Adobe PDF | View/Open Request a copy |
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