Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/40684
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dc.contributor.authorCRNKOVIC, Vlatko-
dc.contributor.authorHUZAK, Renato-
dc.contributor.authorResman, Maja-
dc.date.accessioned2023-08-16T12:55:21Z-
dc.date.available2023-08-16T12:55:21Z-
dc.date.issued2024-
dc.date.submitted2023-08-13T07:14:51Z-
dc.identifier.citationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 530 (1) (Art N° 127662)-
dc.identifier.issn0022-247X-
dc.identifier.urihttp://hdl.handle.net/1942/40684-
dc.description.abstractIn this paper we express the Minkowski dimension of spiral trajectories near hyperbolic saddles and semi-hyperbolic singularities in terms of the dimension of intersections of such spirals with transversals near these singularities. We apply these results to hyperbolic saddle-loops and hyperbolic 2-cycles to obtain, using Minkowski dimension of a single spiral trajectory, some known upper bounds on the cyclicity of such limit periodic sets.-
dc.description.sponsorshipThis research was supported by Croatian Science Foundation (HRZZ) Grant PZS-2019-02-3055 from Research Cooperability program funded by the European Social Fund. The first two authors are supported by the Special Research Fund (BOF number: BOF21BL01) of Hasselt University. The third author is supported by Croatian Science Foundation (HRZZ) Grant UIP-2017-05- 1020. The first and the third author are also supported by the bilateral Hubert-Curien Cogito grant 2023-24.-
dc.language.isoen-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.rights2023 Elsevier Inc. All rights reserved.-
dc.subject.otherMinkowski dimension-
dc.subject.othersaddle-loops-
dc.subject.other2-cycles-
dc.subject.othercyclicity-
dc.titleFractal Analysis of Hyperbolic Saddles with Applications-
dc.typeJournal Contribution-
dc.identifier.issue1-
dc.identifier.spage127662-
dc.identifier.volume530-
local.bibliographicCitation.jcatA1-
dc.description.notesCrnkovic, V (corresponding author), Univ Zagreb, Fac Elect Engn & Comp, Dept Appl Math, Unska 3, HR-10000 Zagreb, Croatia.; Crnkovic, V (corresponding author), Hasselt Univ, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium.-
dc.description.notesvlatko.crnkovic@fer.hr; renato.huzak@uhasselt.be; maja.resman@math.hr-
local.publisher.place525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA-
local.type.refereedRefereed-
local.type.specifiedArticle-
local.bibliographicCitation.artnr127662-
dc.identifier.doi10.1016/j.jmaa.2023.127662-
dc.identifier.isi001122544900001-
dc.identifier.eissn1096-0813-
local.provider.typePdf-
local.description.affiliation[Crnkovic, Vlatko] Univ Zagreb, Fac Elect Engn & Comp, Dept Appl Math, Unska 3, HR-10000 Zagreb, Croatia.-
local.description.affiliation[Crnkovic, Vlatko; Huzak, Renato] Hasselt Univ, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium.-
local.description.affiliation[Resman, Maja] Univ Zagreb, Fac Sci, Dept Math, Horvatovac 102a, Zagreb 10000, Croatia.-
local.uhasselt.internationalyes-
item.fullcitationCRNKOVIC, Vlatko; HUZAK, Renato & Resman, Maja (2024) Fractal Analysis of Hyperbolic Saddles with Applications. In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 530 (1) (Art N° 127662).-
item.fulltextWith Fulltext-
item.contributorCRNKOVIC, Vlatko-
item.contributorHUZAK, Renato-
item.contributorResman, Maja-
item.accessRightsOpen Access-
crisitem.journal.issn0022-247X-
crisitem.journal.eissn1096-0813-
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