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(Reference retrieved automatically from SciELO through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

Full text
Author(s):
JACKSON ITIKAWA ; JAUME LLIBRE
Total Authors: 2
Document type: Journal article
Source: Anais da Academia Brasileira de Ciências; v. 91, n. 2, p. -, 2019.
Abstract

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. (AU)

FAPESP's process: 16/23285-9 - On the real Jacobian conjecture and the center-type singularities
Grantee:Jackson Itikawa
Support type: Scholarships abroad - Research Internship - Post-doctor