Abelian integrals and non-generic turning points
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 a...
| Authors: | ; |
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| Format: | Article |
| Publication date: | 2022 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:259951 |
| Online Access: | https://ddd.uab.cat/record/259951 https://dx.doi.org/urn:doi:10.1007/s12346-022-00609-7 |
| Access Level: | Open access |
| Keyword: | Abelian integrals Chebyshev systems Planar turning points |
| Summary: | 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. |
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