Center Problem for trigonometric Liénard systems
We give a complete algebraic characterization of the non-degenerated centers for planar trigonometric Liénard systems. The main tools used in our proof are the classical results of Cherkas on planar analytic Liénard systems and the characterization of some subfields of the quotient field of the ring...
| Authors: | ; ; |
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| Format: | Article |
| Publication date: | 2017 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:182524 |
| Online Access: | https://ddd.uab.cat/record/182524 https://dx.doi.org/urn:doi:10.1016/j.jde.2017.05.008 |
| Access Level: | Open access |
| Keyword: | Center problem Trigonometric Liénard equation Trigonometric polynomial |
| _version_ | 1878736129227751424 |
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| author | Gasull, Armengol|||0000-0002-1719-8231 |
| author2 | Giné, Jaume|||0000-0001-7109-2553 Valls, Clàudia|||0000-0001-8279-1229 |
| author2_role | author author |
| author_browse | Gasull, Armengol|||0000-0002-1719-8231 Giné, Jaume|||0000-0001-7109-2553 Valls, Clàudia|||0000-0001-8279-1229 |
| author_facet | Gasull, Armengol|||0000-0002-1719-8231 Giné, Jaume|||0000-0001-7109-2553 Valls, Clàudia|||0000-0001-8279-1229 |
| author_role | author |
| collection | Dipòsit Digital de Documents de la UAB |
| description | We give a complete algebraic characterization of the non-degenerated centers for planar trigonometric Liénard systems. The main tools used in our proof are the classical results of Cherkas on planar analytic Liénard systems and the characterization of some subfields of the quotient field of the ring of trigonometric polynomials. Our results are also applied to some particular subfamilies of planar trigonometric Liénard systems. The results obtained are reminiscent of the ones for planar polynomial Liénard systems but the proofs are different. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_89733cd8a508cc24ee5902cf21d0d708 |
| 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:182524 |
| publishDate | 2017 |
| publishDateSort | 2017 |
| reponame_str | Dipòsit Digital de Documents de la UAB |
| spelling | Center Problem for trigonometric Liénard systems Gasull, Armengol|||0000-0002-1719-8231 Giné, Jaume|||0000-0001-7109-2553 Valls, Clàudia|||0000-0001-8279-1229 Center problem Trigonometric Liénard equation Trigonometric polynomial We give a complete algebraic characterization of the non-degenerated centers for planar trigonometric Liénard systems. The main tools used in our proof are the classical results of Cherkas on planar analytic Liénard systems and the characterization of some subfields of the quotient field of the ring of trigonometric polynomials. Our results are also applied to some particular subfamilies of planar trigonometric Liénard systems. The results obtained are reminiscent of the ones for planar polynomial Liénard systems but the proofs are different. https://ddd.uab.cat/record/182524 https://dx.doi.org/urn:doi:10.1016/j.jde.2017.05.008 |
| spellingShingle | Center Problem for trigonometric Liénard systems Gasull, Armengol|||0000-0002-1719-8231 Center problem Trigonometric Liénard equation Trigonometric polynomial |
| title | Center Problem for trigonometric Liénard systems |
| title_full | Center Problem for trigonometric Liénard systems |
| title_fullStr | Center Problem for trigonometric Liénard systems |
| title_full_unstemmed | Center Problem for trigonometric Liénard systems |
| title_short | Center Problem for trigonometric Liénard systems |
| title_sort | Center Problem for trigonometric Liénard systems |
| topic | Center problem Trigonometric Liénard equation Trigonometric polynomial |
| topic_facet | Center problem Trigonometric Liénard equation Trigonometric polynomial |
| url | https://ddd.uab.cat/record/182524 https://dx.doi.org/urn:doi:10.1016/j.jde.2017.05.008 |