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

Jackson Itikawa, Jaume Llibre

Research output: Contribution to journalArticleResearch

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 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.
Original languageEnglish
Pages (from-to)e20170627
JournalAnais da Academia Brasileira de Ciencias
Volume91
DOIs
Publication statusPublished - 1 Jul 2019

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