A new qualitative proof of a result on the real jacobian conjecture

DOI10.1590/0001-3765201520130408zbMath1332.14073OpenAlexW2181298732WikidataQ50862433 ScholiaQ50862433MaRDI QIDQ3464029

Jaume Llibre, Francisco Braun

Publication date: 20 January 2016

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1590/0001-3765201520130408

zbMATH Keywords

centerglobal injectivityreal Jacobian conjecturePoincaré compactificationpolynomial vector field

Mathematics Subject Classification ID

Jacobian problem (14R15) Linear first-order PDEs (35F05)

Related Items (5)

A new sufficient condition in order that the real Jacobian conjecture in \(\mathbb{R}^2\) holds ⋮ On necessary and sufficient conditions for the real Jacobian conjecture ⋮ A sufficient condition in order that the real Jacobian conjecture in \(\mathbb{R}^2\) holds ⋮ Dynamics, points and places at infinity, and the inversion of polynomial self-maps of \(\mathbb{R}^2\) ⋮ A sufficient condition for the real Jacobian conjecture in \(\mathbb{R}^2\)

Cites Work

• The asymptotic variety of a Pinchuk map as a polynomial curve
• Global asymptotic stability for differentiable vector fields of \(\mathbb R^2\)
• A counterexample to the strong real Jacobian conjecture
• Polynomial automorphisms and the Jacobian conjecture
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• A connection between isochronous Hamiltonian centres and the Jacobian Conjecture
• On the Injectivity of C¹ Maps of the Real Plane
• Injectivity of polynomial local homeomorphisms of Rn

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