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(Reference retrieved automatically from Web of Science 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

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Author(s):
Itikawa, Jackson [1] ; Llibre, Jaume [2]
Total Authors: 2
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: Anais da Academia Brasileira de Ciências; v. 91, n. 2 2019.
Web of Science Citations: 0
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) 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)

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