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http://hdl.handle.net/1942/44406
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | YAO, Jinhui | - |
dc.contributor.author | Huang, Jicai | - |
dc.contributor.author | HUZAK, Renato | - |
dc.contributor.author | Ruan, Shigui | - |
dc.date.accessioned | 2024-10-02T08:05:11Z | - |
dc.date.available | 2024-10-02T08:05:11Z | - |
dc.date.issued | 2024 | - |
dc.date.submitted | 2024-09-26T19:13:23Z | - |
dc.identifier.citation | Nonlinearity, 37 (11) (Art N° 115007) | - |
dc.identifier.uri | http://hdl.handle.net/1942/44406 | - |
dc.description.abstract | In this paper, we study the cyclicity of slow–fast cycles with one self-intersection point and two nilpotent contact points in planar slow–fast systems, where the nilpotent contact point is a jump point or a slow–fast Hopf point. These slow–fast cycles can be classified into three cases based on the two nilpotent contact points: (i) both are generic jump points, (ii) one is a generic jump point and the other is a slow–fast Hopf point, and (iii) both are slow–fast Hopf points. By using slow divergence integrals and entry–exit functions, we show that the cyclicity of slow–fast cycles with one self-intersection point and two generic jump points (or one generic jump point and one slow–fast Hopf point) is at most two, and the cyclicity of slow–fast cycles with one self-intersection point and two slow–fast Hopf points is at most three under some specific conditions. Finally, we apply the main results to two predator-prey models. | - |
dc.language.iso | en | - |
dc.subject.other | slow-fast cycles | - |
dc.subject.other | self-intersection point | - |
dc.subject.other | nilpotent contact point | - |
dc.subject.other | cyclicity | - |
dc.subject.other | entry-exit function | - |
dc.subject.other | slow divergence integral | - |
dc.subject.other | difference map AMS subject classifications 34027 | - |
dc.subject.other | 34C26 | - |
dc.subject.other | 34E15 | - |
dc.title | Cyclicity of slow–fast cycles with one self-intersection point and two nilpotent contact points | - |
dc.type | Journal Contribution | - |
dc.identifier.issue | 11 | - |
dc.identifier.volume | 37 | - |
local.bibliographicCitation.jcat | A1 | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
local.bibliographicCitation.artnr | 115007 | - |
dc.identifier.doi | 10.1088/1361-6544/ad7c11 | - |
local.provider.type | CrossRef | - |
local.uhasselt.international | yes | - |
item.fullcitation | YAO, Jinhui; Huang, Jicai; HUZAK, Renato & Ruan, Shigui (2024) Cyclicity of slow–fast cycles with one self-intersection point and two nilpotent contact points. In: Nonlinearity, 37 (11) (Art N° 115007). | - |
item.accessRights | Embargoed Access | - |
item.fulltext | With Fulltext | - |
item.contributor | YAO, Jinhui | - |
item.contributor | Huang, Jicai | - |
item.contributor | HUZAK, Renato | - |
item.contributor | Ruan, Shigui | - |
item.embargoEndDate | 2025-04-01 | - |
crisitem.journal.issn | 0951-7715 | - |
crisitem.journal.eissn | 1361-6544 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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YHHR_20240812.pdf Until 2025-04-01 | Peer-reviewed author version | 2.95 MB | Adobe PDF | View/Open Request a copy |
Yao_2024_Nonlinearity_37_115007.pdf Restricted Access | Published version | 6.04 MB | Adobe PDF | View/Open Request a copy |
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