New classes of polynomial maps satisfying the real Jacobian conjecture in ℝ2

Abstract: 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) ≠ 0. The second cl...

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Bibliographic Details
Main Authors: JACKSON ITIKAWA, JAUME LLIBRE
Format: Article
Language:English
Published: Academia Brasileira de Ciências
Series:Anais da Academia Brasileira de Ciências
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000300202&lng=en&tlng=en