Isochronicity for trivial quintic and septic planar polynomial Hamiltonian systems
In this paper we completely characterize trivial isochronous centers of degrees 5 and 7. Precisely, we provide formulas, up to linear change of coordinates, for the Hamiltonian H of the isochronous centers such that H =(f_1^2 f_2^2)/2 has degrees 6 and 8, and f = (f_1, f_2): R^2 R^2 is a polynomial...
| Autores: | , , |
|---|---|
| Tipo de documento: | artigo |
| Data de publicação: | 2016 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:169474 |
| Acesso em linha: | https://ddd.uab.cat/record/169474 https://dx.doi.org/urn:doi:10.3934/dcds.2016029 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Isochronous centers Jacobian conjecture Polynomial Hamiltonian systems |
| Resumo: | In this paper we completely characterize trivial isochronous centers of degrees 5 and 7. Precisely, we provide formulas, up to linear change of coordinates, for the Hamiltonian H of the isochronous centers such that H =(f_1^2 f_2^2)/2 has degrees 6 and 8, and f = (f_1, f_2): R^2 R^2 is a polynomial map with D f = 1 and f(0,0) = (0,0). |
|---|