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: | ; |
|---|---|
| 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 |
| _version_ | 1878740549148606464 |
|---|---|
| author | Huzak, Renato |
| author2 | Rojas, David|||0000-0001-7247-4705 |
| author2_role | author |
| author_browse | Huzak, Renato Rojas, David|||0000-0001-7247-4705 |
| author_facet | Huzak, Renato Rojas, David|||0000-0001-7247-4705 |
| author_role | author |
| collection | Dipòsit Digital de Documents de la UAB |
| description | 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_d511de7a67bc6ce2e7f9a6b0ea428071 |
| institution | Universitat Autònoma de Barcelona |
| instname_str | Universitat Autònoma de Barcelona |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:ddd.uab.cat:259951 |
| publishDate | 2022 |
| publishDateSort | 2022 |
| reponame_str | Dipòsit Digital de Documents de la UAB |
| spelling | Abelian integrals and non-generic turning points Huzak, Renato Rojas, David|||0000-0001-7247-4705 Abelian integrals Chebyshev systems Planar 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 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. https://ddd.uab.cat/record/259951 https://dx.doi.org/urn:doi:10.1007/s12346-022-00609-7 |
| spellingShingle | Abelian integrals and non-generic turning points Huzak, Renato Abelian integrals Chebyshev systems Planar turning points |
| title | Abelian integrals and non-generic turning points |
| title_full | Abelian integrals and non-generic turning points |
| title_fullStr | Abelian integrals and non-generic turning points |
| title_full_unstemmed | Abelian integrals and non-generic turning points |
| title_short | Abelian integrals and non-generic turning points |
| title_sort | Abelian integrals and non-generic turning points |
| topic | Abelian integrals Chebyshev systems Planar turning points |
| topic_facet | Abelian integrals Chebyshev systems Planar turning points |
| url | https://ddd.uab.cat/record/259951 https://dx.doi.org/urn:doi:10.1007/s12346-022-00609-7 |