| Journal: | Anais da Academia Brasileira de Ciencias |
| Database: | PERIÓDICA |
| System number: | 000424329 |
| ISSN: | 0001-3765 |
| Authors: | Artés, Joan Carles1 Braun, Francisco2 Llibre, Jaume1 |
| Institutions: | 1Universidad Autónoma de Barcelona, Departamento de Matemáticas, Barcelona. España 2Universidade Federal de Sao Carlos, Departamento de Matemática, Sao Carlos, Sao Paulo. Brasil |
| Year: | 2018 |
| Season: | Sep |
| Volumen: | 90 |
| Number: | 3 |
| Pages: | 2599-2616 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental, aplicado |
| English abstract | In this paper we describe the global phase portrait of the Hamiltonian system associated to a Pinchuk map in the Poincaré disc. In particular, we prove that this phase portrait has 15 separatrices, five of them singular points, and 7 canonical regions, six of them of type strip and one annular |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Conjetura real Jacobiana, Inyectividad global, Sistema Hamiltoniano |
| Keyword: | Pure mathematics, Real Jacobian conjecture, Global injectivity, Hamiltonian system |
| Full text: | Texto completo (Ver HTML) |
