New classes of polynomial maps satisfying the real Jacobian conjecture in R2
We present two new classes of polynomial maps satisfying the real Jacobian conjecture in R2. The first class is formed by the polynomials maps of the form (q(x) - p(y),q(y) + p(x)): R2 → R2 such that p and q are real polynomials satisfying p'(x)q'(x) ≠ 0. The second class is formed by poly...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:221324 |
| Acesso em linha: | https://ddd.uab.cat/record/221324 https://dx.doi.org/urn:doi:10.1590/0001-3765201920170627 |
| Access Level: | acceso abierto |
| Palavra-chave: | Injective polynomial maps Global center Real Jacobian conjecture Planar Hamiltonian systems |
| Resumo: | We present two new classes of polynomial maps satisfying the real Jacobian conjecture in R2. The first class is formed by the polynomials maps of the form (q(x) - p(y),q(y) + p(x)): R2 → R2 such that p and q are real polynomials satisfying p'(x)q'(x) ≠ 0. The second class is formed by polynomials maps (f,g): R2 → R2 where f and g are real homogeneous polynomials of the same arbitrary degree satisfying some conditions. |
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