Abstract
© 2015 Elsevier Inc. Let F=(f,g):R2 → R2 be a polynomial map such that det DF(x, y) is different from zero for all (x,y) ∈ R2 and F(0, 0)=(0, 0). We prove that for the injectivity of F it is sufficient to assume that the higher homogeneous terms of the polynomials ffx+ggx and ffy+ggy do not have real linear factors in common. The proofs are based on qualitative theory of dynamical systems.
Original language | English |
---|---|
Pages (from-to) | 5250-5258 |
Journal | Journal of Differential Equations |
Volume | 260 |
Issue number | 6 |
DOIs | |
Publication status | Published - 15 Mar 2016 |
Keywords
- Centre
- Global injectivity
- Real Jacobian conjecture