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Global injectivity of maps in R^n


Let F: R^n -> R^n be a C^infinity map such that its Jacobian determinant has no zeros. This project presents some directions in the investigation of additional conditions guarantying the global injectivity of F. We present two lines of research in case F is polynomial in R^2 and also a line of research in the general case. We intend to work with three main group of researchers. (AU)

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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)
BRAUN, FRANCISCO; MEREU, ANA C. Zero-Hopf bifurcation in a 3D jerk system. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v. 59, JUN 2021. Web of Science Citations: 0.
BRAUN, FRANCISCO; FERNANDES, FILIPE. New lower bounds for the maximal number of inseparable leaves of nonsingular polynomial foliations of the plane. Journal of Mathematical Analysis and Applications, v. 491, n. 1 NOV 1 2020. Web of Science Citations: 0.

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