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http://hdl.handle.net/1942/37388| Title: | Abelian Integrals and Non-generic Turning Points | Authors: | HUZAK, Renato Rojas, David |
Issue Date: | 2022 | Publisher: | SPRINGER BASEL AG | Source: | Qualitative Theory of Dynamical Systems, 21 (3) (Art N° 77) | Abstract: | In this paper we initiate the study of the Chebyshev property of Abelian integrals generated by a non-generic turning point in planar slow-fast systems. Such Abelian integrals generalize the Abelian integrals produced by a slow-fast Hopf point (or generic turning point), introduced in Dumortier et al. (Discrete Contin Dyn Syst Ser S 2(4):723–781, 2009), and play an important role in studying the number of limit cycles born from the non-generic turning point. | Keywords: | Abelian integrals;Chebyshev systems;planar turning points 2020 Mathematics Subject Classification: 34E15;34E17 | Document URI: | http://hdl.handle.net/1942/37388 | ISSN: | 1575-5460 | e-ISSN: | 1662-3592 | DOI: | 10.1007/s12346-022-00609-7 | ISI #: | 000802037600001 | Datasets of the publication: | https://doi.org/10.1007/s12346-022-00609-7 | Rights: | Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2023 |
| Appears in Collections: | Research publications |
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| Huzak-Rojas2022_Article_AbelianIntegralsAndNon-generic.pdf | Published version | 607.83 kB | Adobe PDF | View/Open |
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