Data/hora: 05/06/2024 17:22:29

Provedor de dados: | 42
País: | Brazil
Título: | A new qualitative proof of a result on the real jacobian conjecture
Autores: | BRAUN,FRANCISCO; LLIBRE,JAUME.
Data: | 2015-09-01
Ano: | 2015
Palavras-chave: | Real Jacobian conjecture; Global injectivity; Center; Poincaré compactification.
Resumo: | Let F= (f, g) : R2 → R2be a polynomial map such that det DF(x) is different from zero for all x∈ R2. We assume that the degrees of fand gare equal. We denote by the homogeneous part of higher degree of f and g, respectively. In this note we provide a proof relied on qualitative theory of differential equations of the following result: If  do not have real linear factors in common, then F is injective.
Tipo: | Info:eu-repo/semantics/article
Idioma: | Inglês
Identificador: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652015000401519
Editor: | Academia Brasileira de Ciências
Relação: | 10.1590/0001-3765201520130408
Formato: | text/html
Fonte: | Anais da Academia Brasileira de Ciências  v.87 n.3 2015
Fonte: | info:eu-repo/semantics/openAccess