Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/27195
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | HUZAK, Renato | - |
dc.contributor.author | Vlah, Domagoj | - |
dc.date.accessioned | 2018-10-22T13:53:37Z | - |
dc.date.available | 2018-10-22T13:53:37Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 18 (2), p. 959-975 | - |
dc.identifier.issn | 1534-0392 | - |
dc.identifier.uri | http://hdl.handle.net/1942/27195 | - |
dc.description.abstract | In previous work [Huzak,2017] we introduced a new box dimension method for computation of the number of limit cycles in planar slow-fast systems, Hausdorff close to balanced canard cycles with one breaking mechanism (the Hopf breaking mechanism or the jump breaking mechanism). This geometric approach consists of a simple iteration method for finding one orbit of the so-called slow relation function and of the calculation of the box dimension of that orbit. Then we read the cyclicity of the balanced canard cycles from the box dimension. The purpose of the present paper is twofold. First, we generalize the box dimension method to canard cycles with two breaking mechanisms. Second, we apply the method from [2017] and our generalized method to a number of interesting examples of canard cycles with one breaking mechanism and with two breaking mechanisms respectively. | - |
dc.description.sponsorship | This work has been supported in part by Croatian Science Foundation under the project IP-2014-09-2285. | - |
dc.language.iso | en | - |
dc.subject.other | box dimension; canard cycles; singular perturbation theory; slow divergence integral; Tricot method | - |
dc.title | Fractal analysis of canard cycles with two breaking parameters and applications | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 975 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 959 | - |
dc.identifier.volume | 18 | - |
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; domagoj.vlah@fer.hr | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.3934/cpaa.2019047 | - |
dc.identifier.isi | 000446873800020 | - |
dc.identifier.url | http://www.aimsciences.org/article/doi/10.3934/cpaa.2019047 | - |
item.fullcitation | HUZAK, Renato & Vlah, Domagoj (2019) Fractal analysis of canard cycles with two breaking parameters and applications. In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 18 (2), p. 959-975. | - |
item.validation | ecoom 2019 | - |
item.accessRights | Open Access | - |
item.fulltext | With Fulltext | - |
item.contributor | HUZAK, Renato | - |
item.contributor | Vlah, Domagoj | - |
crisitem.journal.issn | 1534-0392 | - |
crisitem.journal.eissn | 1553-5258 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
FractalAnalysisCanard .pdf | Peer-reviewed author version | 617.27 kB | Adobe PDF | View/Open |
Huzak.pdf Restricted Access | Published version | 608.78 kB | Adobe PDF | View/Open Request a copy |
WEB OF SCIENCETM
Citations
6
checked on Jul 18, 2024
Page view(s)
74
checked on Sep 6, 2022
Download(s)
112
checked on Sep 6, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.