Global phase portraits of quadratic systems with a complex ellipse as invariant algebraic curve

DOI10.1007/s10114-017-5478-yzbMath1394.34056OpenAlexW2769358099MaRDI QIDQ1637060

Jaume Llibre, Claudia Valls

Publication date: 7 June 2018

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/199331

zbMATH Keywords

quadratic systemphase portraitPoincaré discinvariant algebraic curvescomplex ellipse

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Invariant manifolds for ordinary differential equations (34C45)

Related Items (3)

Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems ⋮ Evolutionary stable strategies and cubic vector fields ⋮ Phase portraits of (2;0) reversible vector fields with symmetrical singularities

Cites Work

• On the limit cycles bifurcating from an ellipse of a quadratic center
• Classification and Analysis of two-dimensional real homogeneous quadratic differential equation systems
• Quadratic Hamiltonian vector fields
• Quadratic systems with center and their perturbations
• Qualitative theory of planar differential systems
• A survey of quadratic systems
• On the differentiability of first integrals of two dimensional flows
• Algebraic Particular Integrals, Integrability and the Problem of the Center
• Classification of Continuous Flows on 2-Manifolds
• Two Dimensional Homogeneous Quadratic Differential Systems
• Global Structure of Ordinary Differential Equations in the Plane
• On the conditions of a center and general integrals of quadratic differential systems
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