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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: | 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 | 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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