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http://hdl.handle.net/1942/31268
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DC Field | Value | Language |
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dc.contributor.author | DE MAESSCHALCK, Peter | - |
dc.contributor.author | Doan, Thai Son | - |
dc.contributor.author | WYNEN, Jeroen | - |
dc.date.accessioned | 2020-06-09T08:09:18Z | - |
dc.date.available | 2020-06-09T08:09:18Z | - |
dc.date.issued | 2020 | - |
dc.date.submitted | 2020-05-28T14:30:07Z | - |
dc.identifier.citation | - | |
dc.identifier.uri | http://hdl.handle.net/1942/31268 | - |
dc.description.abstract | The presence of slow-fast Hopf (or singular Hopf) points in slow-fast systems in the plane is often deduced from the shape of a vector field brought into normal form. It can however be quite cumbersome to put a system in normal form. In the monograph "Canards from birth to transition", an intrinsic presentation of slow-fast vector fields is initiated, showing hands-on formulas to check for the presence of such singular contact points. We generalize the results in the sense that the criticality of the Hopf bifurcation can be checked with a single formula. We demonstrate the result on a slow-fast system given in non-standard form where slow and fast variables are not separated from each other. The formula is convenient since it does not require any parameterization of the critical curve. | - |
dc.language.iso | en | - |
dc.subject | Mathematics - Dynamical Systems | - |
dc.subject | Mathematics - Dynamical Systems | - |
dc.subject | 34C23, 37G10, 34C26 | - |
dc.subject.other | Mathematics - Dynamical Systems | - |
dc.subject.other | 34C23, 37G10, 34C26 | - |
dc.subject.other | singular bifurcations | - |
dc.subject.other | slow-fast Hopf bifurcation | - |
dc.subject.other | criticality | - |
dc.title | Intrinsic determination of the criticality of a slow-fast Hopf bifurcation | - |
dc.type | Preprint | - |
local.bibliographicCitation.jcat | O | - |
local.type.refereed | Non-Refereed | - |
local.type.specified | Preprint | - |
dc.identifier.arxiv | 2005.10742 | - |
dc.identifier.url | http://arxiv.org/abs/2005.10742v1 | - |
local.provider.type | ArXiv | - |
local.uhasselt.uhpub | yes | - |
item.fullcitation | DE MAESSCHALCK, Peter; Doan, Thai Son & WYNEN, Jeroen (2020) Intrinsic determination of the criticality of a slow-fast Hopf bifurcation. | - |
item.fulltext | With Fulltext | - |
item.contributor | DE MAESSCHALCK, Peter | - |
item.contributor | Doan, Thai Son | - |
item.contributor | WYNEN, Jeroen | - |
item.accessRights | Open Access | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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2005.10742v1.pdf | Non Peer-reviewed author version | 196.49 kB | Adobe PDF | View/Open |
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