Advanced search
Start date
Betweenand

On the real Jacobian conjecture and the center-type singularities

Grant number: 16/23285-9
Support type:Scholarships abroad - Research Internship - Post-doctor
Effective date (Start): February 01, 2017
Effective date (End): July 31, 2017
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Regilene Delazari dos Santos Oliveira
Grantee:Jackson Itikawa
Supervisor abroad: Jaume Llibre Salo
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Research place: Universitat Autònoma de Barcelona (UAB), Spain  
Associated to the scholarship:15/07612-7 - Uniform isochronous centers in planar polynomial differential systems of degree 5, BP.PD

Abstract

Let F=(f,g) be a polynomial map with nonvanishing Jacobian determinant, such that F(0,0)=(0,0). This project aims to apply results from the dynamical systems theory in order to determine if there exists a counterexample to the real Jacobian conjecture with f and g of degree 5, which is so far the lower degree of a such counterexample could exist.

Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
JACKSON ITIKAWA; JAUME LLIBRE. New classes of polynomial maps satisfying the real Jacobian conjecture in ℝ 2. Anais da Academia Brasileira de Ciências, v. 91, n. 2, p. -, 2019.
ITIKAWA, JACKSON; LLIBRE, JAUME. New classes of polynomial maps satisfying the real Jacobian conjecture in R-2. Anais da Academia Brasileira de Ciências, v. 91, n. 2 2019. Web of Science Citations: 0.

Please report errors in scientific publications list by writing to: cdi@fapesp.br.