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On a discrete version of the Jacobian conjecture of dynamical systems

โœ Scribed by Mau-Hsiang Shih; Jinn-Wen Wu

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
87 KB
Volume
34
Category
Article
ISSN
0362-546X

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We prove that a polynomial map from \(\mathbf{R}^{n}\) to itself with non-zero constant Jacobian determinant is a stably tame automorphism if its linear part is the identity and all the coefficients of its higher order terms are non-positive. We also prove that the Jacobian conjecture holds for any