New sufficient condition for the two-dimensional real Jacobian conjecture through the Newton diagram

DOI10.1016/j.jde.2024.07.013MaRDI QIDQ6616056

Xiuli Cen, Yuzhou Tian

Publication date: 8 October 2024

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

zbMATH Keywords

Newton diagramreal Jacobian conjecturemonodromic singular pointBendixson compactification

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

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