Global phase portraits of quadratic systems with a complex ellipse as invariant algebraic curve
type: Item
instance of: scholarly article
title: Global phase portraits of quadratic systems with a complex ellipse as invariant algebraic curve
zbMATH Open document ID: 1394.34056
author: Jaume Llibre
author: Claudia Valls
publication date: 2018-06-07T00:00:00Z
full work available at URL: http://ddd.uab.cat/record/199331
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C45
zbMATH DE Number: 6881937
zbMATH Keywords: quadratic system
zbMATH Keywords: complex ellipse
zbMATH Keywords: invariant algebraic curves
zbMATH Keywords: phase portrait
zbMATH Keywords: Poincaré disc
MaRDI profile type: Publication
OpenAlex ID: W2769358099
cites work: Quadratic Hamiltonian vector fields
cites work: Q5390113
cites work: Q5832271
cites work: A survey of quadratic systems
cites work: Classification and Analysis of two-dimensional real homogeneous quadratic differential equation systems
cites work: Qualitative theory of planar differential systems
cites work: Q4235091
cites work: Q4129125
cites work: On the differentiability of first integrals of two dimensional flows
cites work: On the limit cycles bifurcating from an ellipse of a quadratic center
cites work: Q3964907
cites work: Q5804390
cites work: Q5731038
cites work: Global Structure of Ordinary Differential Equations in the Plane
cites work: Classification of Continuous Flows on 2-Manifolds
cites work: Two Dimensional Homogeneous Quadratic Differential Systems
cites work: Algebraic Particular Integrals, Integrability and the Problem of the Center
cites work: Q4179246
cites work: Q3714423
cites work: On the conditions of a center and general integrals of quadratic differential systems
cites work: Quadratic systems with center and their perturbations
DOI: 10.1007/S10114-017-5478-Y
published in: Acta Mathematica Sinica, English Series
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description: scientific article; zbMATH DE number 6881937