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http://hdl.handle.net/1942/38722
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DC Field | Value | Language |
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dc.contributor.author | HUZAK, Renato | - |
dc.contributor.author | Vlah, Domagoj | - |
dc.contributor.author | Zubrinic, Darko | - |
dc.contributor.author | Zupanovic, Vesna | - |
dc.date.accessioned | 2022-10-13T10:12:04Z | - |
dc.date.available | 2022-10-13T10:12:04Z | - |
dc.date.issued | 2022 | - |
dc.date.submitted | 2022-10-04T11:27:50Z | - |
dc.identifier.citation | APPLIED MATHEMATICS AND COMPUTATION, 438 (Art N° 127569) | - |
dc.identifier.issn | 0096-3003 | - |
dc.identifier.uri | http://hdl.handle.net/1942/38722 | - |
dc.description.abstract | In this paper we initiate the study of the Minkowski dimension, also called the box dimension, of degenerate spiral trajectories of a class of ordinary differential equations. A class of singularities of focus type with two zero eigenvalues (nilpotent or more degenerate) has been studied. We find the box dimension of a polynomial degenerate focus of type (n, n ) by exploiting the well-known fractal results for α-power spirals. In the general (m, n ) case, we formulate a conjecture about the box dimension of a degenerate focus using numerical experiments. Further, we reduce the fractal analysis of planar nilpotent contact points to the study of the box dimension of a slow-fast spiral generated by their “entry-exit” function. There exists a bijective correspondence between the box dimension of the slow-fast spirals and the codimension of contact points. We also construct a three-dimensional vector field that contains a degenerate spiral, called an elliptical power spiral, as a trajectory. | - |
dc.description.sponsorship | This research was supported by: Croatian Science Foundation (HRZZ) grant PZS-2019-02-3055 from “Research Cooper-ability” program funded by the European Social Fund. | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER SCIENCE INC | - |
dc.rights | 2022 Elsevier Inc. All rights reserved. | - |
dc.subject.other | Box dimension (Minkowski dimension) | - |
dc.subject.other | Degenerate spiral trajectories | - |
dc.subject.other | Geometric chirps | - |
dc.subject.other | Turning points | - |
dc.title | Fractal analysis of degenerate spiral trajectories of a class of ordinary differential equations | - |
dc.type | Journal Contribution | - |
dc.identifier.spage | 127569 | - |
dc.identifier.volume | 438 | - |
local.bibliographicCitation.jcat | A1 | - |
local.publisher.place | STE 800, 230 PARK AVE, NEW YORK, NY 10169 USA | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
local.bibliographicCitation.status | Early view | - |
local.bibliographicCitation.artnr | 127569 | - |
dc.identifier.doi | https://doi.org/10.1016/j.amc.2022.127569 | - |
dc.identifier.isi | 000866507400001 | - |
dc.identifier.eissn | 1873-5649 | - |
local.provider.type | - | |
local.dataset.url | https://www.sciencedirect.com/science/article/pii/S0096300322006439?dgcid=coauthor | - |
local.uhasselt.international | yes | - |
item.fullcitation | HUZAK, Renato; Vlah, Domagoj; Zubrinic, Darko & Zupanovic, Vesna (2022) Fractal analysis of degenerate spiral trajectories of a class of ordinary differential equations. In: APPLIED MATHEMATICS AND COMPUTATION, 438 (Art N° 127569). | - |
item.accessRights | Open Access | - |
item.fulltext | With Fulltext | - |
item.contributor | HUZAK, Renato | - |
item.contributor | Vlah, Domagoj | - |
item.contributor | Zubrinic, Darko | - |
item.contributor | Zupanovic, Vesna | - |
crisitem.journal.issn | 0096-3003 | - |
crisitem.journal.eissn | 1873-5649 | - |
Appears in Collections: | Research publications |
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Fractal_analysis_of_degenerate_spiral_trajectories_of_a_class_of_ordinary_differential_equations.pdf | Non Peer-reviewed author version | 582.59 kB | Adobe PDF | View/Open |
Fractal_analysis_of_degenerate_spiral_trajectories_of_a_class_of_ordinary_differential_equations.pdf Restricted Access | Early view | 582.59 kB | Adobe PDF | View/Open Request a copy |
1-s2.0-S0096300322006439-main.pdf | 922.08 kB | Adobe PDF | View/Open |
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