An upper bound of the index of an equilibrium point in the plane
type: Item
instance of: scholarly article
title: An upper bound of the index of an equilibrium point in the plane
zbMATH Open document ID: 1264.34058
author: Jaume Llibre
author: José Martínez-Alfaro
published in: Journal of Differential Equations
publication date: 2012-09-12T00:00:00Z
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 6081508
zbMATH Keywords: index
zbMATH Keywords: planar differential systems
zbMATH Keywords: gradient systems
zbMATH Keywords: Hamiltonian systems
MaRDI profile type: Publication
full work available at URL: j.jde.2012.07.001
OpenAlex ID: W2065290625
cites work: Index of a stationary point of a vector field on the plane
cites work: Topological equivalence of a plane vector field with its principal part defined through Newton polyhedra
cites work: On the Relation between Index and Multiplicity
cites work: Qualitative theory of planar differential systems
cites work: On the number of branches of a plane curve germ
cites work: Q5330830
cites work: Q4427950
cites work: A note on the Poincaré-Bendixson index theorem
cites work: The index of singularities of vector fields and finite jets
cites work: Decomposition of vector fields and mixed dynamics
cites work: Eigenvalue Estimates and the Index of Hessian Fields
cites work: A proof of a conjecture of Loewner and of the conjecture of Caratheodory on umbilic points
DOI: 10.1016/J.JDE.2012.07.001
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reviewed by: Liqin Zhao
description: scientific article; zbMATH DE number 6081508