A generalization of the Poincaré compactification and the real Jacobian conjecture

DOI10.1007/s10884-022-10149-yOpenAlexW4220799778WikidataQ113901158 ScholiaQ113901158MaRDI QIDQ6195999

Claudia Valls

Publication date: 14 March 2024

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-022-10149-y

zbMATH Keywords

real Jacobian conjecturePoincaré compactificationweight-homogeneous vector fields

Mathematics Subject Classification ID

Dynamical systems with hyperbolic behavior (37D99)

Related Items (1)

Controllability of periodic linear systems, the Poincaré sphere, and quasi-affine systems

Cites Work

• Unnamed Item
• Unnamed Item
• On polynomial submersions of degree 4 and the real Jacobian conjecture in \(\mathbb{R}^2\)
• Global asymptotic stability for differentiable vector fields of \(\mathbb R^2\)
• A generalization of the Poincaré compactification
• Qualitative classification of singular points
• A counterexample to the strong real Jacobian conjecture
• Polynomial automorphisms and the Jacobian conjecture
• A sufficient condition for the real Jacobian conjecture in \(\mathbb{R}^2\)
• The real Jacobian conjecture on \(\mathbb R^2\) is true when one of the components has degree 3
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Bounded Polynomial Vector Fields
• The number of limit cycles of certain polynomial differential equations
• Isochronicity of plane polynomial Hamiltonian systems
• Homeomorphisms Between Banach Spaces
• A connection between isochronous Hamiltonian centres and the Jacobian Conjecture
• Differential Equations Defined by the Sum of two Quasi-Homogeneous Vector Fields
• On the Injectivity of C¹ Maps of the Real Plane
• Injectivity of polynomial local homeomorphisms of Rn

This page was built for publication: A generalization of the Poincaré compactification and the real Jacobian conjecture