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Title: | Fractal Analysis of Hyperbolic Saddles with Applications | Authors: | CRNKOVIC, Vlatko HUZAK, Renato Resman, Maja |
Issue Date: | 2024 | Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Source: | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 530 (1) (Art N° 127662) | Abstract: | In 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. | Notes: | Crnkovic, 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. vlatko.crnkovic@fer.hr; renato.huzak@uhasselt.be; maja.resman@math.hr |
Keywords: | Minkowski dimension;saddle-loops;2-cycles;cyclicity | Document URI: | http://hdl.handle.net/1942/40684 | ISSN: | 0022-247X | e-ISSN: | 1096-0813 | DOI: | 10.1016/j.jmaa.2023.127662 | ISI #: | 001122544900001 | Rights: | 2023 Elsevier Inc. All rights reserved. | Category: | A1 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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paperCHR.pdf | Non Peer-reviewed author version | 498.02 kB | Adobe PDF | View/Open |
Fractal analysis of hyperbolic saddles with applications.pdf Restricted Access | Published version | 534.26 kB | Adobe PDF | View/Open Request a copy |
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