New classes of polynomial maps satisfying the real Jacobian conjecture in R-2

Autor(es)

Itikawa, Jackson ^[1] ; Llibre, Jaume ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Rondonia, Dept Matemat, Campus BR 364, Km 9-5, BR-76801059 Porto Velho, RO - Brazil

^[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain

• Tipo de documento: Artigo Científico
• Fonte: Anais da Academia Brasileira de Ciências; v. 91, n. 2 2019.
• Citações Web of Science: 0

Resumo

We present two new classes of polynomial maps satisfying the real Jacobian conjecture in R-2. The first class is formed by the polynomials maps of the form (q(x)-p(y),q(y)+p(x)) : R-2 -> R-2 such that p and q are real polynomials satisfying p'(x)q'(x) not equal 0. The second class is formed by polynomials maps (f, g) : R-2 -> R-2 where f and g are real homogeneous polynomials of the same arbitrary degree satisfying some conditions. (AU)

• Processo FAPESP: 16/23285-9 - Sobre a conjectura Jacobiana real e as singularidades do tipo centro
• Beneficiário: Jackson Itikawa
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado